Finding the Third Proportional to 32,681 and 50,489.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,681 : 50,489.50 = 50,489.50 : x
2. Step 2: Convert to fraction form
   32,681/50,489.50 = 50,489.50/x
3. Step 3: Cross multiply
   32,681x = 50,489.50 × 50,489.50
4. Step 4: Simplify right side
   32,681x = 2,549,189,610.25
5. Step 5: Solve for x
   x = 2,549,189,610.25/32,681
6. Step 6: Final answer
   x = 78,002.19