Finding the Third Proportional to 12,261 and 17,335

Step by Step Solution

1. Step 1: Write the proportion equation
   12,261 : 17,335 = 17,335 : x
2. Step 2: Convert to fraction form
   12,261/17,335 = 17,335/x
3. Step 3: Cross multiply
   12,261x = 17,335 × 17,335
4. Step 4: Simplify right side
   12,261x = 300,502,225
5. Step 5: Solve for x
   x = 300,502,225/12,261
6. Step 6: Final answer
   x = 24,508.79