Finding the Third Proportional to 32,162 and 42,387

Step by Step Solution

1. Step 1: Write the proportion equation
   32,162 : 42,387 = 42,387 : x
2. Step 2: Convert to fraction form
   32,162/42,387 = 42,387/x
3. Step 3: Cross multiply
   32,162x = 42,387 × 42,387
4. Step 4: Simplify right side
   32,162x = 1,796,657,769
5. Step 5: Solve for x
   x = 1,796,657,769/32,162
6. Step 6: Final answer
   x = 55,862.75