Finding the Third Proportional to 13,101.75 and 18,523.69

Step by Step Solution

1. Step 1: Write the proportion equation
   13,101.75 : 18,523.69 = 18,523.69 : x
2. Step 2: Convert to fraction form
   13,101.75/18,523.69 = 18,523.69/x
3. Step 3: Cross multiply
   13,101.75x = 18,523.69 × 18,523.69
4. Step 4: Simplify right side
   13,101.75x = 343,126,998.60
5. Step 5: Solve for x
   x = 343,126,998.60/13,101.75
6. Step 6: Final answer
   x = 26,189.40