Finding the Third Proportional to 37,429.25 and 81,215.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,429.25 : 81,215.75 = 81,215.75 : x
2. Step 2: Convert to fraction form
   37,429.25/81,215.75 = 81,215.75/x
3. Step 3: Cross multiply
   37,429.25x = 81,215.75 × 81,215.75
4. Step 4: Simplify right side
   37,429.25x = 6,595,998,048.06
5. Step 5: Solve for x
   x = 6,595,998,048.06/37,429.25
6. Step 6: Final answer
   x = 176,225.76