Finding the Third Proportional to 45,774 and 71,734.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,774 : 71,734.50 = 71,734.50 : x
2. Step 2: Convert to fraction form
   45,774/71,734.50 = 71,734.50/x
3. Step 3: Cross multiply
   45,774x = 71,734.50 × 71,734.50
4. Step 4: Simplify right side
   45,774x = 5,145,838,490.25
5. Step 5: Solve for x
   x = 5,145,838,490.25/45,774
6. Step 6: Final answer
   x = 112,418.37