Finding the Third Proportional to 37,860 and 82,350

Step by Step Solution

1. Step 1: Write the proportion equation
   37,860 : 82,350 = 82,350 : x
2. Step 2: Convert to fraction form
   37,860/82,350 = 82,350/x
3. Step 3: Cross multiply
   37,860x = 82,350 × 82,350
4. Step 4: Simplify right side
   37,860x = 6,781,522,500
5. Step 5: Solve for x
   x = 6,781,522,500/37,860
6. Step 6: Final answer
   x = 179,121.04