Finding the Third Proportional to 51,184.50 and 74,266.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,184.50 : 74,266.50 = 74,266.50 : x
2. Step 2: Convert to fraction form
   51,184.50/74,266.50 = 74,266.50/x
3. Step 3: Cross multiply
   51,184.50x = 74,266.50 × 74,266.50
4. Step 4: Simplify right side
   51,184.50x = 5,515,513,022.25
5. Step 5: Solve for x
   x = 5,515,513,022.25/51,184.50
6. Step 6: Final answer
   x = 107,757.49