Finding the Third Proportional to 6,149,012,186,900 and 12,806,974,375,634

Step by Step Solution

1. Step 1: Write the proportion equation
   6,149,012,186,900 : 12,806,974,375,634 = 12,806,974,375,634 : x
2. Step 2: Convert to fraction form
   6,149,012,186,900/12,806,974,375,634 = 12,806,974,375,634/x
3. Step 3: Cross multiply
   6,149,012,186,900x = 12,806,974,375,634 × 12,806,974,375,634
4. Step 4: Simplify right side
   6,149,012,186,900x = 164,018,592,658,145,876,807,516,160
5. Step 5: Solve for x
   x = 164,018,592,658,145,876,807,516,160/6,149,012,186,900
6. Step 6: Final answer
   x = 26,673,974,237,288.87