Finding the Third Proportional to 11,440 and 17,602

Step by Step Solution

1. Step 1: Write the proportion equation
   11,440 : 17,602 = 17,602 : x
2. Step 2: Convert to fraction form
   11,440/17,602 = 17,602/x
3. Step 3: Cross multiply
   11,440x = 17,602 × 17,602
4. Step 4: Simplify right side
   11,440x = 309,830,404
5. Step 5: Solve for x
   x = 309,830,404/11,440
6. Step 6: Final answer
   x = 27,083.08