Finding the Third Proportional to 25,643 and 52,564

Step by Step Solution

1. Step 1: Write the proportion equation
   25,643 : 52,564 = 52,564 : x
2. Step 2: Convert to fraction form
   25,643/52,564 = 52,564/x
3. Step 3: Cross multiply
   25,643x = 52,564 × 52,564
4. Step 4: Simplify right side
   25,643x = 2,762,974,096
5. Step 5: Solve for x
   x = 2,762,974,096/25,643
6. Step 6: Final answer
   x = 107,747.69