Finding the Third Proportional to 11,824.13 and 25,868.63

Step by Step Solution

1. Step 1: Write the proportion equation
   11,824.13 : 25,868.63 = 25,868.63 : x
2. Step 2: Convert to fraction form
   11,824.13/25,868.63 = 25,868.63/x
3. Step 3: Cross multiply
   11,824.13x = 25,868.63 × 25,868.63
4. Step 4: Simplify right side
   11,824.13x = 669,185,759.39
5. Step 5: Solve for x
   x = 669,185,759.39/11,824.13
6. Step 6: Final answer
   x = 56,594.95