Finding the Third Proportional to 37,102 and 82,208

Step by Step Solution

1. Step 1: Write the proportion equation
   37,102 : 82,208 = 82,208 : x
2. Step 2: Convert to fraction form
   37,102/82,208 = 82,208/x
3. Step 3: Cross multiply
   37,102x = 82,208 × 82,208
4. Step 4: Simplify right side
   37,102x = 6,758,155,264
5. Step 5: Solve for x
   x = 6,758,155,264/37,102
6. Step 6: Final answer
   x = 182,150.70