Finding the Third Proportional to 49,819.50 and 74,020.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,819.50 : 74,020.50 = 74,020.50 : x
2. Step 2: Convert to fraction form
   49,819.50/74,020.50 = 74,020.50/x
3. Step 3: Cross multiply
   49,819.50x = 74,020.50 × 74,020.50
4. Step 4: Simplify right side
   49,819.50x = 5,479,034,420.25
5. Step 5: Solve for x
   x = 5,479,034,420.25/49,819.50
6. Step 6: Final answer
   x = 109,977.71