Finding the Third Proportional to 38,860 and 85,496

Step by Step Solution

1. Step 1: Write the proportion equation
   38,860 : 85,496 = 85,496 : x
2. Step 2: Convert to fraction form
   38,860/85,496 = 85,496/x
3. Step 3: Cross multiply
   38,860x = 85,496 × 85,496
4. Step 4: Simplify right side
   38,860x = 7,309,566,016
5. Step 5: Solve for x
   x = 7,309,566,016/38,860
6. Step 6: Final answer
   x = 188,100.00