Finding the Third Proportional to 33,954 and 49,390.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,954 : 49,390.50 = 49,390.50 : x
2. Step 2: Convert to fraction form
   33,954/49,390.50 = 49,390.50/x
3. Step 3: Cross multiply
   33,954x = 49,390.50 × 49,390.50
4. Step 4: Simplify right side
   33,954x = 2,439,421,490.25
5. Step 5: Solve for x
   x = 2,439,421,490.25/33,954
6. Step 6: Final answer
   x = 71,844.89