Finding the Third Proportional to 37,014 and 80,344.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,014 : 80,344.50 = 80,344.50 : x
2. Step 2: Convert to fraction form
   37,014/80,344.50 = 80,344.50/x
3. Step 3: Cross multiply
   37,014x = 80,344.50 × 80,344.50
4. Step 4: Simplify right side
   37,014x = 6,455,238,680.25
5. Step 5: Solve for x
   x = 6,455,238,680.25/37,014
6. Step 6: Final answer
   x = 174,399.92