Finding the Third Proportional to 42,200 and 59,372

Step by Step Solution

1. Step 1: Write the proportion equation
   42,200 : 59,372 = 59,372 : x
2. Step 2: Convert to fraction form
   42,200/59,372 = 59,372/x
3. Step 3: Cross multiply
   42,200x = 59,372 × 59,372
4. Step 4: Simplify right side
   42,200x = 3,525,034,384
5. Step 5: Solve for x
   x = 3,525,034,384/42,200
6. Step 6: Final answer
   x = 83,531.62