Finding the Third Proportional to 11,839.75 and 17,678.63

Step by Step Solution

1. Step 1: Write the proportion equation
   11,839.75 : 17,678.63 = 17,678.63 : x
2. Step 2: Convert to fraction form
   11,839.75/17,678.63 = 17,678.63/x
3. Step 3: Cross multiply
   11,839.75x = 17,678.63 × 17,678.63
4. Step 4: Simplify right side
   11,839.75x = 312,533,781.89
5. Step 5: Solve for x
   x = 312,533,781.89/11,839.75
6. Step 6: Final answer
   x = 26,396.99