Finding the Third Proportional to 51,774 and 73,414.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,774 : 73,414.50 = 73,414.50 : x
2. Step 2: Convert to fraction form
   51,774/73,414.50 = 73,414.50/x
3. Step 3: Cross multiply
   51,774x = 73,414.50 × 73,414.50
4. Step 4: Simplify right side
   51,774x = 5,389,688,810.25
5. Step 5: Solve for x
   x = 5,389,688,810.25/51,774
6. Step 6: Final answer
   x = 104,100.30