Finding the Third Proportional to 39,927 and 86,499

Step by Step Solution

1. Step 1: Write the proportion equation
   39,927 : 86,499 = 86,499 : x
2. Step 2: Convert to fraction form
   39,927/86,499 = 86,499/x
3. Step 3: Cross multiply
   39,927x = 86,499 × 86,499
4. Step 4: Simplify right side
   39,927x = 7,482,077,001
5. Step 5: Solve for x
   x = 7,482,077,001/39,927
6. Step 6: Final answer
   x = 187,393.92