Finding the Third Proportional to 54,537 and 83,799

Step by Step Solution

1. Step 1: Write the proportion equation
   54,537 : 83,799 = 83,799 : x
2. Step 2: Convert to fraction form
   54,537/83,799 = 83,799/x
3. Step 3: Cross multiply
   54,537x = 83,799 × 83,799
4. Step 4: Simplify right side
   54,537x = 7,022,272,401
5. Step 5: Solve for x
   x = 7,022,272,401/54,537
6. Step 6: Final answer
   x = 128,761.62