Finding the Third Proportional to 33,778.69 and 52,972.31

Step by Step Solution

1. Step 1: Write the proportion equation
   33,778.69 : 52,972.31 = 52,972.31 : x
2. Step 2: Convert to fraction form
   33,778.69/52,972.31 = 52,972.31/x
3. Step 3: Cross multiply
   33,778.69x = 52,972.31 × 52,972.31
4. Step 4: Simplify right side
   33,778.69x = 2,806,065,891.60
5. Step 5: Solve for x
   x = 2,806,065,891.60/33,778.69
6. Step 6: Final answer
   x = 83,072.08