Finding the Third Proportional to 42,314 and 59,439

Step by Step Solution

1. Step 1: Write the proportion equation
   42,314 : 59,439 = 59,439 : x
2. Step 2: Convert to fraction form
   42,314/59,439 = 59,439/x
3. Step 3: Cross multiply
   42,314x = 59,439 × 59,439
4. Step 4: Simplify right side
   42,314x = 3,532,994,721
5. Step 5: Solve for x
   x = 3,532,994,721/42,314
6. Step 6: Final answer
   x = 83,494.70