Finding the Third Proportional to 11,582 and 18,145

Step by Step Solution

1. Step 1: Write the proportion equation
   11,582 : 18,145 = 18,145 : x
2. Step 2: Convert to fraction form
   11,582/18,145 = 18,145/x
3. Step 3: Cross multiply
   11,582x = 18,145 × 18,145
4. Step 4: Simplify right side
   11,582x = 329,241,025
5. Step 5: Solve for x
   x = 329,241,025/11,582
6. Step 6: Final answer
   x = 28,426.96