Finding the Third Proportional to 16,140 and 37,686

Step by Step Solution

1. Step 1: Write the proportion equation
   16,140 : 37,686 = 37,686 : x
2. Step 2: Convert to fraction form
   16,140/37,686 = 37,686/x
3. Step 3: Cross multiply
   16,140x = 37,686 × 37,686
4. Step 4: Simplify right side
   16,140x = 1,420,234,596
5. Step 5: Solve for x
   x = 1,420,234,596/16,140
6. Step 6: Final answer
   x = 87,994.71