Finding the Third Proportional to 37,089 and 82,470.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,089 : 82,470.50 = 82,470.50 : x
2. Step 2: Convert to fraction form
   37,089/82,470.50 = 82,470.50/x
3. Step 3: Cross multiply
   37,089x = 82,470.50 × 82,470.50
4. Step 4: Simplify right side
   37,089x = 6,801,383,370.25
5. Step 5: Solve for x
   x = 6,801,383,370.25/37,089
6. Step 6: Final answer
   x = 183,380.07