Finding the Third Proportional to 10,034 and 15,625.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,034 : 15,625.50 = 15,625.50 : x
2. Step 2: Convert to fraction form
   10,034/15,625.50 = 15,625.50/x
3. Step 3: Cross multiply
   10,034x = 15,625.50 × 15,625.50
4. Step 4: Simplify right side
   10,034x = 244,156,250.25
5. Step 5: Solve for x
   x = 244,156,250.25/10,034
6. Step 6: Final answer
   x = 24,332.89