Finding the Third Proportional to 39,000 and 85,404

Step by Step Solution

1. Step 1: Write the proportion equation
   39,000 : 85,404 = 85,404 : x
2. Step 2: Convert to fraction form
   39,000/85,404 = 85,404/x
3. Step 3: Cross multiply
   39,000x = 85,404 × 85,404
4. Step 4: Simplify right side
   39,000x = 7,293,843,216
5. Step 5: Solve for x
   x = 7,293,843,216/39,000
6. Step 6: Final answer
   x = 187,021.62