Finding the Third Proportional to 3,307.50 and 5,132.53

Step by Step Solution

1. Step 1: Write the proportion equation
   3,307.50 : 5,132.53 = 5,132.53 : x
2. Step 2: Convert to fraction form
   3,307.50/5,132.53 = 5,132.53/x
3. Step 3: Cross multiply
   3,307.50x = 5,132.53 × 5,132.53
4. Step 4: Simplify right side
   3,307.50x = 26,342,877.03
5. Step 5: Solve for x
   x = 26,342,877.03/3,307.50
6. Step 6: Final answer
   x = 7,964.59