Finding the Third Proportional to 39,699 and 85,877.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,699 : 85,877.50 = 85,877.50 : x
2. Step 2: Convert to fraction form
   39,699/85,877.50 = 85,877.50/x
3. Step 3: Cross multiply
   39,699x = 85,877.50 × 85,877.50
4. Step 4: Simplify right side
   39,699x = 7,374,945,006.25
5. Step 5: Solve for x
   x = 7,374,945,006.25/39,699
6. Step 6: Final answer
   x = 185,771.56