Finding the Third Proportional to 16,176 and 37,380

Step by Step Solution

1. Step 1: Write the proportion equation
   16,176 : 37,380 = 37,380 : x
2. Step 2: Convert to fraction form
   16,176/37,380 = 37,380/x
3. Step 3: Cross multiply
   16,176x = 37,380 × 37,380
4. Step 4: Simplify right side
   16,176x = 1,397,264,400
5. Step 5: Solve for x
   x = 1,397,264,400/16,176
6. Step 6: Final answer
   x = 86,378.86