Finding the Third Proportional to 52,014.50 and 76,169.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,014.50 : 76,169.50 = 76,169.50 : x
2. Step 2: Convert to fraction form
   52,014.50/76,169.50 = 76,169.50/x
3. Step 3: Cross multiply
   52,014.50x = 76,169.50 × 76,169.50
4. Step 4: Simplify right side
   52,014.50x = 5,801,792,730.25
5. Step 5: Solve for x
   x = 5,801,792,730.25/52,014.50
6. Step 6: Final answer
   x = 111,541.83