Finding the Third Proportional to 37,789 and 82,485

Step by Step Solution

1. Step 1: Write the proportion equation
   37,789 : 82,485 = 82,485 : x
2. Step 2: Convert to fraction form
   37,789/82,485 = 82,485/x
3. Step 3: Cross multiply
   37,789x = 82,485 × 82,485
4. Step 4: Simplify right side
   37,789x = 6,803,775,225
5. Step 5: Solve for x
   x = 6,803,775,225/37,789
6. Step 6: Final answer
   x = 180,046.45