Finding the Third Proportional to 42,478 and 59,412

Step by Step Solution

1. Step 1: Write the proportion equation
   42,478 : 59,412 = 59,412 : x
2. Step 2: Convert to fraction form
   42,478/59,412 = 59,412/x
3. Step 3: Cross multiply
   42,478x = 59,412 × 59,412
4. Step 4: Simplify right side
   42,478x = 3,529,785,744
5. Step 5: Solve for x
   x = 3,529,785,744/42,478
6. Step 6: Final answer
   x = 83,096.80