Finding the Third Proportional to 31,526 and 67,264

Step by Step Solution

1. Step 1: Write the proportion equation
   31,526 : 67,264 = 67,264 : x
2. Step 2: Convert to fraction form
   31,526/67,264 = 67,264/x
3. Step 3: Cross multiply
   31,526x = 67,264 × 67,264
4. Step 4: Simplify right side
   31,526x = 4,524,445,696
5. Step 5: Solve for x
   x = 4,524,445,696/31,526
6. Step 6: Final answer
   x = 143,514.74