Finding the Third Proportional to 42,394 and 83,721

Step by Step Solution

1. Step 1: Write the proportion equation
   42,394 : 83,721 = 83,721 : x
2. Step 2: Convert to fraction form
   42,394/83,721 = 83,721/x
3. Step 3: Cross multiply
   42,394x = 83,721 × 83,721
4. Step 4: Simplify right side
   42,394x = 7,009,205,841
5. Step 5: Solve for x
   x = 7,009,205,841/42,394
6. Step 6: Final answer
   x = 165,334.85