Finding the Third Proportional to 25,198.50 and 52,826.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,198.50 : 52,826.50 = 52,826.50 : x
2. Step 2: Convert to fraction form
   25,198.50/52,826.50 = 52,826.50/x
3. Step 3: Cross multiply
   25,198.50x = 52,826.50 × 52,826.50
4. Step 4: Simplify right side
   25,198.50x = 2,790,639,102.25
5. Step 5: Solve for x
   x = 2,790,639,102.25/25,198.50
6. Step 6: Final answer
   x = 110,746.24