Finding the Third Proportional to 54,681 and 85,665

Step by Step Solution

1. Step 1: Write the proportion equation
   54,681 : 85,665 = 85,665 : x
2. Step 2: Convert to fraction form
   54,681/85,665 = 85,665/x
3. Step 3: Cross multiply
   54,681x = 85,665 × 85,665
4. Step 4: Simplify right side
   54,681x = 7,338,492,225
5. Step 5: Solve for x
   x = 7,338,492,225/54,681
6. Step 6: Final answer
   x = 134,205.52