Finding the Third Proportional to 32,987 and 69,214.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,987 : 69,214.50 = 69,214.50 : x
2. Step 2: Convert to fraction form
   32,987/69,214.50 = 69,214.50/x
3. Step 3: Cross multiply
   32,987x = 69,214.50 × 69,214.50
4. Step 4: Simplify right side
   32,987x = 4,790,647,010.25
5. Step 5: Solve for x
   x = 4,790,647,010.25/32,987
6. Step 6: Final answer
   x = 145,228.33