Finding the Third Proportional to 11,654.51 and 17,924.10

Step by Step Solution

1. Step 1: Write the proportion equation
   11,654.51 : 17,924.10 = 17,924.10 : x
2. Step 2: Convert to fraction form
   11,654.51/17,924.10 = 17,924.10/x
3. Step 3: Cross multiply
   11,654.51x = 17,924.10 × 17,924.10
4. Step 4: Simplify right side
   11,654.51x = 321,273,276.79
5. Step 5: Solve for x
   x = 321,273,276.79/11,654.51
6. Step 6: Final answer
   x = 27,566.44