Finding the Third Proportional to 37,396.13 and 80,738.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,396.13 : 80,738.25 = 80,738.25 : x
2. Step 2: Convert to fraction form
   37,396.13/80,738.25 = 80,738.25/x
3. Step 3: Cross multiply
   37,396.13x = 80,738.25 × 80,738.25
4. Step 4: Simplify right side
   37,396.13x = 6,518,665,013.06
5. Step 5: Solve for x
   x = 6,518,665,013.06/37,396.13
6. Step 6: Final answer
   x = 174,313.92