Finding the Third Proportional to 16,114 and 37,379

Step by Step Solution

1. Step 1: Write the proportion equation
   16,114 : 37,379 = 37,379 : x
2. Step 2: Convert to fraction form
   16,114/37,379 = 37,379/x
3. Step 3: Cross multiply
   16,114x = 37,379 × 37,379
4. Step 4: Simplify right side
   16,114x = 1,397,189,641
5. Step 5: Solve for x
   x = 1,397,189,641/16,114
6. Step 6: Final answer
   x = 86,706.57