Finding the Third Proportional to 11,416 and 17,047

Step by Step Solution

1. Step 1: Write the proportion equation
   11,416 : 17,047 = 17,047 : x
2. Step 2: Convert to fraction form
   11,416/17,047 = 17,047/x
3. Step 3: Cross multiply
   11,416x = 17,047 × 17,047
4. Step 4: Simplify right side
   11,416x = 290,600,209
5. Step 5: Solve for x
   x = 290,600,209/11,416
6. Step 6: Final answer
   x = 25,455.52