Finding the Third Proportional to 48,002.25 and 63,697.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,002.25 : 63,697.50 = 63,697.50 : x
2. Step 2: Convert to fraction form
   48,002.25/63,697.50 = 63,697.50/x
3. Step 3: Cross multiply
   48,002.25x = 63,697.50 × 63,697.50
4. Step 4: Simplify right side
   48,002.25x = 4,057,371,506.25
5. Step 5: Solve for x
   x = 4,057,371,506.25/48,002.25
6. Step 6: Final answer
   x = 84,524.61