Finding the Third Proportional to 10,084.50 and 15,342.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,084.50 : 15,342.75 = 15,342.75 : x
2. Step 2: Convert to fraction form
   10,084.50/15,342.75 = 15,342.75/x
3. Step 3: Cross multiply
   10,084.50x = 15,342.75 × 15,342.75
4. Step 4: Simplify right side
   10,084.50x = 235,399,977.56
5. Step 5: Solve for x
   x = 235,399,977.56/10,084.50
6. Step 6: Final answer
   x = 23,342.75