Finding the Third Proportional to 11,535.75 and 15,892.88

Step by Step Solution

1. Step 1: Write the proportion equation
   11,535.75 : 15,892.88 = 15,892.88 : x
2. Step 2: Convert to fraction form
   11,535.75/15,892.88 = 15,892.88/x
3. Step 3: Cross multiply
   11,535.75x = 15,892.88 × 15,892.88
4. Step 4: Simplify right side
   11,535.75x = 252,583,475.77
5. Step 5: Solve for x
   x = 252,583,475.77/11,535.75
6. Step 6: Final answer
   x = 21,895.71