Finding the Third Proportional to 42,204 and 59,376

Step by Step Solution

1. Step 1: Write the proportion equation
   42,204 : 59,376 = 59,376 : x
2. Step 2: Convert to fraction form
   42,204/59,376 = 59,376/x
3. Step 3: Cross multiply
   42,204x = 59,376 × 59,376
4. Step 4: Simplify right side
   42,204x = 3,525,509,376
5. Step 5: Solve for x
   x = 3,525,509,376/42,204
6. Step 6: Final answer
   x = 83,534.96