Finding the Third Proportional to 33,921 and 49,666.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,921 : 49,666.50 = 49,666.50 : x
2. Step 2: Convert to fraction form
   33,921/49,666.50 = 49,666.50/x
3. Step 3: Cross multiply
   33,921x = 49,666.50 × 49,666.50
4. Step 4: Simplify right side
   33,921x = 2,466,761,222.25
5. Step 5: Solve for x
   x = 2,466,761,222.25/33,921
6. Step 6: Final answer
   x = 72,720.77