Finding the Third Proportional to 37,470.50 and 80,270

Step by Step Solution

1. Step 1: Write the proportion equation
   37,470.50 : 80,270 = 80,270 : x
2. Step 2: Convert to fraction form
   37,470.50/80,270 = 80,270/x
3. Step 3: Cross multiply
   37,470.50x = 80,270 × 80,270
4. Step 4: Simplify right side
   37,470.50x = 6,443,272,900
5. Step 5: Solve for x
   x = 6,443,272,900/37,470.50
6. Step 6: Final answer
   x = 171,955.88