Finding the Third Proportional to 13,122 and 17,678.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,122 : 17,678.25 = 17,678.25 : x
2. Step 2: Convert to fraction form
   13,122/17,678.25 = 17,678.25/x
3. Step 3: Cross multiply
   13,122x = 17,678.25 × 17,678.25
4. Step 4: Simplify right side
   13,122x = 312,520,523.06
5. Step 5: Solve for x
   x = 312,520,523.06/13,122
6. Step 6: Final answer
   x = 23,816.53