Finding the Third Proportional to 23,178.75 and 31,077.56

Step by Step Solution

1. Step 1: Write the proportion equation
   23,178.75 : 31,077.56 = 31,077.56 : x
2. Step 2: Convert to fraction form
   23,178.75/31,077.56 = 31,077.56/x
3. Step 3: Cross multiply
   23,178.75x = 31,077.56 × 31,077.56
4. Step 4: Simplify right side
   23,178.75x = 965,814,890.94
5. Step 5: Solve for x
   x = 965,814,890.94/23,178.75
6. Step 6: Final answer
   x = 41,668.12