Finding the Third Proportional to 47,866.50 and 75,759.75

Step by Step Solution

1. Step 1: Write the proportion equation
   47,866.50 : 75,759.75 = 75,759.75 : x
2. Step 2: Convert to fraction form
   47,866.50/75,759.75 = 75,759.75/x
3. Step 3: Cross multiply
   47,866.50x = 75,759.75 × 75,759.75
4. Step 4: Simplify right side
   47,866.50x = 5,739,539,720.06
5. Step 5: Solve for x
   x = 5,739,539,720.06/47,866.50
6. Step 6: Final answer
   x = 119,907.24