Finding the Third Proportional to 32,886 and 71,986.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,886 : 71,986.50 = 71,986.50 : x
2. Step 2: Convert to fraction form
   32,886/71,986.50 = 71,986.50/x
3. Step 3: Cross multiply
   32,886x = 71,986.50 × 71,986.50
4. Step 4: Simplify right side
   32,886x = 5,182,056,182.25
5. Step 5: Solve for x
   x = 5,182,056,182.25/32,886
6. Step 6: Final answer
   x = 157,576.36