Finding the Third Proportional to 48,577.50 and 65,074.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,577.50 : 65,074.50 = 65,074.50 : x
2. Step 2: Convert to fraction form
   48,577.50/65,074.50 = 65,074.50/x
3. Step 3: Cross multiply
   48,577.50x = 65,074.50 × 65,074.50
4. Step 4: Simplify right side
   48,577.50x = 4,234,690,550.25
5. Step 5: Solve for x
   x = 4,234,690,550.25/48,577.50
6. Step 6: Final answer
   x = 87,173.91