Finding the Third Proportional to 32,765.50 and 49,419.75

Step by Step Solution

1. Step 1: Write the proportion equation
   32,765.50 : 49,419.75 = 49,419.75 : x
2. Step 2: Convert to fraction form
   32,765.50/49,419.75 = 49,419.75/x
3. Step 3: Cross multiply
   32,765.50x = 49,419.75 × 49,419.75
4. Step 4: Simplify right side
   32,765.50x = 2,442,311,690.06
5. Step 5: Solve for x
   x = 2,442,311,690.06/32,765.50
6. Step 6: Final answer
   x = 74,539.12