Finding the Third Proportional to 33,948 and 49,897.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,948 : 49,897.50 = 49,897.50 : x
2. Step 2: Convert to fraction form
   33,948/49,897.50 = 49,897.50/x
3. Step 3: Cross multiply
   33,948x = 49,897.50 × 49,897.50
4. Step 4: Simplify right side
   33,948x = 2,489,760,506.25
5. Step 5: Solve for x
   x = 2,489,760,506.25/33,948
6. Step 6: Final answer
   x = 73,340.42