Finding the Third Proportional to 37,011.50 and 80,340.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,011.50 : 80,340.50 = 80,340.50 : x
2. Step 2: Convert to fraction form
   37,011.50/80,340.50 = 80,340.50/x
3. Step 3: Cross multiply
   37,011.50x = 80,340.50 × 80,340.50
4. Step 4: Simplify right side
   37,011.50x = 6,454,595,940.25
5. Step 5: Solve for x
   x = 6,454,595,940.25/37,011.50
6. Step 6: Final answer
   x = 174,394.34