Finding the Third Proportional to 33,567 and 51,322.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,567 : 51,322.50 = 51,322.50 : x
2. Step 2: Convert to fraction form
   33,567/51,322.50 = 51,322.50/x
3. Step 3: Cross multiply
   33,567x = 51,322.50 × 51,322.50
4. Step 4: Simplify right side
   33,567x = 2,633,999,006.25
5. Step 5: Solve for x
   x = 2,633,999,006.25/33,567
6. Step 6: Final answer
   x = 78,469.90