Finding the Third Proportional to 10,642.50 and 24,857.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,642.50 : 24,857.25 = 24,857.25 : x
2. Step 2: Convert to fraction form
   10,642.50/24,857.25 = 24,857.25/x
3. Step 3: Cross multiply
   10,642.50x = 24,857.25 × 24,857.25
4. Step 4: Simplify right side
   10,642.50x = 617,882,877.56
5. Step 5: Solve for x
   x = 617,882,877.56/10,642.50
6. Step 6: Final answer
   x = 58,058.06