Finding the Third Proportional to 37,782 and 82,188

Step by Step Solution

1. Step 1: Write the proportion equation
   37,782 : 82,188 = 82,188 : x
2. Step 2: Convert to fraction form
   37,782/82,188 = 82,188/x
3. Step 3: Cross multiply
   37,782x = 82,188 × 82,188
4. Step 4: Simplify right side
   37,782x = 6,754,867,344
5. Step 5: Solve for x
   x = 6,754,867,344/37,782
6. Step 6: Final answer
   x = 178,785.33