Finding the Third Proportional to 33,969 and 51,655.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,969 : 51,655.50 = 51,655.50 : x
2. Step 2: Convert to fraction form
   33,969/51,655.50 = 51,655.50/x
3. Step 3: Cross multiply
   33,969x = 51,655.50 × 51,655.50
4. Step 4: Simplify right side
   33,969x = 2,668,290,680.25
5. Step 5: Solve for x
   x = 2,668,290,680.25/33,969
6. Step 6: Final answer
   x = 78,550.76