Finding the Third Proportional to 11,407 and 17,033

Step by Step Solution

1. Step 1: Write the proportion equation
   11,407 : 17,033 = 17,033 : x
2. Step 2: Convert to fraction form
   11,407/17,033 = 17,033/x
3. Step 3: Cross multiply
   11,407x = 17,033 × 17,033
4. Step 4: Simplify right side
   11,407x = 290,123,089
5. Step 5: Solve for x
   x = 290,123,089/11,407
6. Step 6: Final answer
   x = 25,433.78