Finding the Third Proportional to 33,976.13 and 52,506.56

Step by Step Solution

1. Step 1: Write the proportion equation
   33,976.13 : 52,506.56 = 52,506.56 : x
2. Step 2: Convert to fraction form
   33,976.13/52,506.56 = 52,506.56/x
3. Step 3: Cross multiply
   33,976.13x = 52,506.56 × 52,506.56
4. Step 4: Simplify right side
   33,976.13x = 2,756,939,105.57
5. Step 5: Solve for x
   x = 2,756,939,105.57/33,976.13
6. Step 6: Final answer
   x = 81,143.42