Finding the Third Proportional to 50,896.50 and 74,824.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,896.50 : 74,824.50 = 74,824.50 : x
2. Step 2: Convert to fraction form
   50,896.50/74,824.50 = 74,824.50/x
3. Step 3: Cross multiply
   50,896.50x = 74,824.50 × 74,824.50
4. Step 4: Simplify right side
   50,896.50x = 5,598,705,800.25
5. Step 5: Solve for x
   x = 5,598,705,800.25/50,896.50
6. Step 6: Final answer
   x = 110,001.78