Finding the Third Proportional to 54,159 and 83,697

Step by Step Solution

1. Step 1: Write the proportion equation
   54,159 : 83,697 = 83,697 : x
2. Step 2: Convert to fraction form
   54,159/83,697 = 83,697/x
3. Step 3: Cross multiply
   54,159x = 83,697 × 83,697
4. Step 4: Simplify right side
   54,159x = 7,005,187,809
5. Step 5: Solve for x
   x = 7,005,187,809/54,159
6. Step 6: Final answer
   x = 129,344.85