Finding the Third Proportional to 49,846 and 74,048.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,846 : 74,048.50 = 74,048.50 : x
2. Step 2: Convert to fraction form
   49,846/74,048.50 = 74,048.50/x
3. Step 3: Cross multiply
   49,846x = 74,048.50 × 74,048.50
4. Step 4: Simplify right side
   49,846x = 5,483,180,352.25
5. Step 5: Solve for x
   x = 5,483,180,352.25/49,846
6. Step 6: Final answer
   x = 110,002.41