Finding the Third Proportional to 9,602.50 and 12,915.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,602.50 : 12,915.75 = 12,915.75 : x
2. Step 2: Convert to fraction form
   9,602.50/12,915.75 = 12,915.75/x
3. Step 3: Cross multiply
   9,602.50x = 12,915.75 × 12,915.75
4. Step 4: Simplify right side
   9,602.50x = 166,816,598.06
5. Step 5: Solve for x
   x = 166,816,598.06/9,602.50
6. Step 6: Final answer
   x = 17,372.20