Finding the Third Proportional to 33,999 and 51,574.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,999 : 51,574.50 = 51,574.50 : x
2. Step 2: Convert to fraction form
   33,999/51,574.50 = 51,574.50/x
3. Step 3: Cross multiply
   33,999x = 51,574.50 × 51,574.50
4. Step 4: Simplify right side
   33,999x = 2,659,929,050.25
5. Step 5: Solve for x
   x = 2,659,929,050.25/33,999
6. Step 6: Final answer
   x = 78,235.51