Finding the Third Proportional to 39,188 and 85,666

Step by Step Solution

1. Step 1: Write the proportion equation
   39,188 : 85,666 = 85,666 : x
2. Step 2: Convert to fraction form
   39,188/85,666 = 85,666/x
3. Step 3: Cross multiply
   39,188x = 85,666 × 85,666
4. Step 4: Simplify right side
   39,188x = 7,338,663,556
5. Step 5: Solve for x
   x = 7,338,663,556/39,188
6. Step 6: Final answer
   x = 187,268.13