Finding the Third Proportional to 10,141.31 and 15,597.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,141.31 : 15,597.56 = 15,597.56 : x
2. Step 2: Convert to fraction form
   10,141.31/15,597.56 = 15,597.56/x
3. Step 3: Cross multiply
   10,141.31x = 15,597.56 × 15,597.56
4. Step 4: Simplify right side
   10,141.31x = 243,283,955.94
5. Step 5: Solve for x
   x = 243,283,955.94/10,141.31
6. Step 6: Final answer
   x = 23,989.40