Finding the Third Proportional to 37,840.50 and 80,292.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,840.50 : 80,292.75 = 80,292.75 : x
2. Step 2: Convert to fraction form
   37,840.50/80,292.75 = 80,292.75/x
3. Step 3: Cross multiply
   37,840.50x = 80,292.75 × 80,292.75
4. Step 4: Simplify right side
   37,840.50x = 6,446,925,702.56
5. Step 5: Solve for x
   x = 6,446,925,702.56/37,840.50
6. Step 6: Final answer
   x = 170,371.05