Finding the Third Proportional to 33,923 and 49,903.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,923 : 49,903.50 = 49,903.50 : x
2. Step 2: Convert to fraction form
   33,923/49,903.50 = 49,903.50/x
3. Step 3: Cross multiply
   33,923x = 49,903.50 × 49,903.50
4. Step 4: Simplify right side
   33,923x = 2,490,359,312.25
5. Step 5: Solve for x
   x = 2,490,359,312.25/33,923
6. Step 6: Final answer
   x = 73,412.12