Finding the Third Proportional to 32,034 and 47,788.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,034 : 47,788.50 = 47,788.50 : x
2. Step 2: Convert to fraction form
   32,034/47,788.50 = 47,788.50/x
3. Step 3: Cross multiply
   32,034x = 47,788.50 × 47,788.50
4. Step 4: Simplify right side
   32,034x = 2,283,740,732.25
5. Step 5: Solve for x
   x = 2,283,740,732.25/32,034
6. Step 6: Final answer
   x = 71,291.15