Finding the Third Proportional to 13,591.50 and 25,162.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,591.50 : 25,162.50 = 25,162.50 : x
2. Step 2: Convert to fraction form
   13,591.50/25,162.50 = 25,162.50/x
3. Step 3: Cross multiply
   13,591.50x = 25,162.50 × 25,162.50
4. Step 4: Simplify right side
   13,591.50x = 633,151,406.25
5. Step 5: Solve for x
   x = 633,151,406.25/13,591.50
6. Step 6: Final answer
   x = 46,584.37