Finding the Third Proportional to 11,646.28 and 17,685.84

Step by Step Solution

1. Step 1: Write the proportion equation
   11,646.28 : 17,685.84 = 17,685.84 : x
2. Step 2: Convert to fraction form
   11,646.28/17,685.84 = 17,685.84/x
3. Step 3: Cross multiply
   11,646.28x = 17,685.84 × 17,685.84
4. Step 4: Simplify right side
   11,646.28x = 312,789,069.15
5. Step 5: Solve for x
   x = 312,789,069.15/11,646.28
6. Step 6: Final answer
   x = 26,857.42