Finding the Third Proportional to 10,165.50 and 15,912

Step by Step Solution

1. Step 1: Write the proportion equation
   10,165.50 : 15,912 = 15,912 : x
2. Step 2: Convert to fraction form
   10,165.50/15,912 = 15,912/x
3. Step 3: Cross multiply
   10,165.50x = 15,912 × 15,912
4. Step 4: Simplify right side
   10,165.50x = 253,191,744
5. Step 5: Solve for x
   x = 253,191,744/10,165.50
6. Step 6: Final answer
   x = 24,906.96