Finding the Third Proportional to 42,398 and 83,730

Step by Step Solution

1. Step 1: Write the proportion equation
   42,398 : 83,730 = 83,730 : x
2. Step 2: Convert to fraction form
   42,398/83,730 = 83,730/x
3. Step 3: Cross multiply
   42,398x = 83,730 × 83,730
4. Step 4: Simplify right side
   42,398x = 7,010,712,900
5. Step 5: Solve for x
   x = 7,010,712,900/42,398
6. Step 6: Final answer
   x = 165,354.80