Finding the Third Proportional to 37,219.50 and 80,274.38

Step by Step Solution

1. Step 1: Write the proportion equation
   37,219.50 : 80,274.38 = 80,274.38 : x
2. Step 2: Convert to fraction form
   37,219.50/80,274.38 = 80,274.38/x
3. Step 3: Cross multiply
   37,219.50x = 80,274.38 × 80,274.38
4. Step 4: Simplify right side
   37,219.50x = 6,443,975,281.64
5. Step 5: Solve for x
   x = 6,443,975,281.64/37,219.50
6. Step 6: Final answer
   x = 173,134.39