Finding the Third Proportional to 12,020 and 17,565

Step by Step Solution

1. Step 1: Write the proportion equation
   12,020 : 17,565 = 17,565 : x
2. Step 2: Convert to fraction form
   12,020/17,565 = 17,565/x
3. Step 3: Cross multiply
   12,020x = 17,565 × 17,565
4. Step 4: Simplify right side
   12,020x = 308,529,225
5. Step 5: Solve for x
   x = 308,529,225/12,020
6. Step 6: Final answer
   x = 25,667.99