Finding the Third Proportional to 54,585 and 86,799

Step by Step Solution

1. Step 1: Write the proportion equation
   54,585 : 86,799 = 86,799 : x
2. Step 2: Convert to fraction form
   54,585/86,799 = 86,799/x
3. Step 3: Cross multiply
   54,585x = 86,799 × 86,799
4. Step 4: Simplify right side
   54,585x = 7,534,066,401
5. Step 5: Solve for x
   x = 7,534,066,401/54,585
6. Step 6: Final answer
   x = 138,024.48