Finding the Third Proportional to 37,547.30 and 82,018.20

Step by Step Solution

1. Step 1: Write the proportion equation
   37,547.30 : 82,018.20 = 82,018.20 : x
2. Step 2: Convert to fraction form
   37,547.30/82,018.20 = 82,018.20/x
3. Step 3: Cross multiply
   37,547.30x = 82,018.20 × 82,018.20
4. Step 4: Simplify right side
   37,547.30x = 6,726,984,362.32
5. Step 5: Solve for x
   x = 6,726,984,362.32/37,547.30
6. Step 6: Final answer
   x = 179,160.28