Finding the Third Proportional to 5,392.50 and 11,823.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,392.50 : 11,823.75 = 11,823.75 : x
2. Step 2: Convert to fraction form
   5,392.50/11,823.75 = 11,823.75/x
3. Step 3: Cross multiply
   5,392.50x = 11,823.75 × 11,823.75
4. Step 4: Simplify right side
   5,392.50x = 139,801,064.06
5. Step 5: Solve for x
   x = 139,801,064.06/5,392.50
6. Step 6: Final answer
   x = 25,925.09