Finding the Third Proportional to 11,824.88 and 17,634.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,824.88 : 17,634.75 = 17,634.75 : x
2. Step 2: Convert to fraction form
   11,824.88/17,634.75 = 17,634.75/x
3. Step 3: Cross multiply
   11,824.88x = 17,634.75 × 17,634.75
4. Step 4: Simplify right side
   11,824.88x = 310,984,407.56
5. Step 5: Solve for x
   x = 310,984,407.56/11,824.88
6. Step 6: Final answer
   x = 26,299.17