Finding the Third Proportional to 35,736 and 49,048.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,736 : 49,048.50 = 49,048.50 : x
2. Step 2: Convert to fraction form
   35,736/49,048.50 = 49,048.50/x
3. Step 3: Cross multiply
   35,736x = 49,048.50 × 49,048.50
4. Step 4: Simplify right side
   35,736x = 2,405,755,352.25
5. Step 5: Solve for x
   x = 2,405,755,352.25/35,736
6. Step 6: Final answer
   x = 67,320.22