Finding the Third Proportional to 16,008 and 37,382

Step by Step Solution

1. Step 1: Write the proportion equation
   16,008 : 37,382 = 37,382 : x
2. Step 2: Convert to fraction form
   16,008/37,382 = 37,382/x
3. Step 3: Cross multiply
   16,008x = 37,382 × 37,382
4. Step 4: Simplify right side
   16,008x = 1,397,413,924
5. Step 5: Solve for x
   x = 1,397,413,924/16,008
6. Step 6: Final answer
   x = 87,294.72