Finding the Third Proportional to 37,401.75 and 81,956.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,401.75 : 81,956.25 = 81,956.25 : x
2. Step 2: Convert to fraction form
   37,401.75/81,956.25 = 81,956.25/x
3. Step 3: Cross multiply
   37,401.75x = 81,956.25 × 81,956.25
4. Step 4: Simplify right side
   37,401.75x = 6,716,826,914.06
5. Step 5: Solve for x
   x = 6,716,826,914.06/37,401.75
6. Step 6: Final answer
   x = 179,585.90