Finding the Third Proportional to 31,251 and 41,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,251 : 41,746.50 = 41,746.50 : x
2. Step 2: Convert to fraction form
   31,251/41,746.50 = 41,746.50/x
3. Step 3: Cross multiply
   31,251x = 41,746.50 × 41,746.50
4. Step 4: Simplify right side
   31,251x = 1,742,770,262.25
5. Step 5: Solve for x
   x = 1,742,770,262.25/31,251
6. Step 6: Final answer
   x = 55,766.86