Finding the Third Proportional to 10,204.31 and 15,607.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,204.31 : 15,607.69 = 15,607.69 : x
2. Step 2: Convert to fraction form
   10,204.31/15,607.69 = 15,607.69/x
3. Step 3: Cross multiply
   10,204.31x = 15,607.69 × 15,607.69
4. Step 4: Simplify right side
   10,204.31x = 243,599,909.10
5. Step 5: Solve for x
   x = 243,599,909.10/10,204.31
6. Step 6: Final answer
   x = 23,872.25