Finding the Third Proportional to 10,096.50 and 15,497.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.50 : 15,497.50 = 15,497.50 : x
2. Step 2: Convert to fraction form
   10,096.50/15,497.50 = 15,497.50/x
3. Step 3: Cross multiply
   10,096.50x = 15,497.50 × 15,497.50
4. Step 4: Simplify right side
   10,096.50x = 240,172,506.25
5. Step 5: Solve for x
   x = 240,172,506.25/10,096.50
6. Step 6: Final answer
   x = 23,787.70