Finding the Third Proportional to 42,213 and 59,366

Step by Step Solution

1. Step 1: Write the proportion equation
   42,213 : 59,366 = 59,366 : x
2. Step 2: Convert to fraction form
   42,213/59,366 = 59,366/x
3. Step 3: Cross multiply
   42,213x = 59,366 × 59,366
4. Step 4: Simplify right side
   42,213x = 3,524,321,956
5. Step 5: Solve for x
   x = 3,524,321,956/42,213
6. Step 6: Final answer
   x = 83,489.02