Finding the Third Proportional to 37,384.03 and 82,354.22

Step by Step Solution

1. Step 1: Write the proportion equation
   37,384.03 : 82,354.22 = 82,354.22 : x
2. Step 2: Convert to fraction form
   37,384.03/82,354.22 = 82,354.22/x
3. Step 3: Cross multiply
   37,384.03x = 82,354.22 × 82,354.22
4. Step 4: Simplify right side
   37,384.03x = 6,782,217,345.92
5. Step 5: Solve for x
   x = 6,782,217,345.92/37,384.03
6. Step 6: Final answer
   x = 181,420.17