Finding the Third Proportional to 37,092 and 82,478

Step by Step Solution

1. Step 1: Write the proportion equation
   37,092 : 82,478 = 82,478 : x
2. Step 2: Convert to fraction form
   37,092/82,478 = 82,478/x
3. Step 3: Cross multiply
   37,092x = 82,478 × 82,478
4. Step 4: Simplify right side
   37,092x = 6,802,620,484
5. Step 5: Solve for x
   x = 6,802,620,484/37,092
6. Step 6: Final answer
   x = 183,398.59