Finding the Third Proportional to 16,090 and 37,593

Step by Step Solution

1. Step 1: Write the proportion equation
   16,090 : 37,593 = 37,593 : x
2. Step 2: Convert to fraction form
   16,090/37,593 = 37,593/x
3. Step 3: Cross multiply
   16,090x = 37,593 × 37,593
4. Step 4: Simplify right side
   16,090x = 1,413,233,649
5. Step 5: Solve for x
   x = 1,413,233,649/16,090
6. Step 6: Final answer
   x = 87,833.04