Finding the Third Proportional to 37,388 and 82,552

Step by Step Solution

1. Step 1: Write the proportion equation
   37,388 : 82,552 = 82,552 : x
2. Step 2: Convert to fraction form
   37,388/82,552 = 82,552/x
3. Step 3: Cross multiply
   37,388x = 82,552 × 82,552
4. Step 4: Simplify right side
   37,388x = 6,814,832,704
5. Step 5: Solve for x
   x = 6,814,832,704/37,388
6. Step 6: Final answer
   x = 182,273.26