Finding the Third Proportional to 39,771 and 86,575.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,771 : 86,575.50 = 86,575.50 : x
2. Step 2: Convert to fraction form
   39,771/86,575.50 = 86,575.50/x
3. Step 3: Cross multiply
   39,771x = 86,575.50 × 86,575.50
4. Step 4: Simplify right side
   39,771x = 7,495,317,200.25
5. Step 5: Solve for x
   x = 7,495,317,200.25/39,771
6. Step 6: Final answer
   x = 188,461.87