Finding the Third Proportional to 10,434.75 and 15,910.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,434.75 : 15,910.50 = 15,910.50 : x
2. Step 2: Convert to fraction form
   10,434.75/15,910.50 = 15,910.50/x
3. Step 3: Cross multiply
   10,434.75x = 15,910.50 × 15,910.50
4. Step 4: Simplify right side
   10,434.75x = 253,144,010.25
5. Step 5: Solve for x
   x = 253,144,010.25/10,434.75
6. Step 6: Final answer
   x = 24,259.71