Finding the Third Proportional to 16,092 and 37,598

Step by Step Solution

1. Step 1: Write the proportion equation
   16,092 : 37,598 = 37,598 : x
2. Step 2: Convert to fraction form
   16,092/37,598 = 37,598/x
3. Step 3: Cross multiply
   16,092x = 37,598 × 37,598
4. Step 4: Simplify right side
   16,092x = 1,413,609,604
5. Step 5: Solve for x
   x = 1,413,609,604/16,092
6. Step 6: Final answer
   x = 87,845.49