Finding the Third Proportional to 42,000 and 85,920

Step by Step Solution

1. Step 1: Write the proportion equation
   42,000 : 85,920 = 85,920 : x
2. Step 2: Convert to fraction form
   42,000/85,920 = 85,920/x
3. Step 3: Cross multiply
   42,000x = 85,920 × 85,920
4. Step 4: Simplify right side
   42,000x = 7,382,246,400
5. Step 5: Solve for x
   x = 7,382,246,400/42,000
6. Step 6: Final answer
   x = 175,767.77