Finding the Third Proportional to 48,127.50 and 65,589.75

Step by Step Solution

1. Step 1: Write the proportion equation
   48,127.50 : 65,589.75 = 65,589.75 : x
2. Step 2: Convert to fraction form
   48,127.50/65,589.75 = 65,589.75/x
3. Step 3: Cross multiply
   48,127.50x = 65,589.75 × 65,589.75
4. Step 4: Simplify right side
   48,127.50x = 4,302,015,305.06
5. Step 5: Solve for x
   x = 4,302,015,305.06/48,127.50
6. Step 6: Final answer
   x = 89,387.88