Finding the Third Proportional to 17,529.75 and 37,974.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,529.75 : 37,974.75 = 37,974.75 : x
2. Step 2: Convert to fraction form
   17,529.75/37,974.75 = 37,974.75/x
3. Step 3: Cross multiply
   17,529.75x = 37,974.75 × 37,974.75
4. Step 4: Simplify right side
   17,529.75x = 1,442,081,637.56
5. Step 5: Solve for x
   x = 1,442,081,637.56/17,529.75
6. Step 6: Final answer
   x = 82,264.81