Finding the Third Proportional to 11,501 and 17,815

Step by Step Solution

1. Step 1: Write the proportion equation
   11,501 : 17,815 = 17,815 : x
2. Step 2: Convert to fraction form
   11,501/17,815 = 17,815/x
3. Step 3: Cross multiply
   11,501x = 17,815 × 17,815
4. Step 4: Simplify right side
   11,501x = 317,374,225
5. Step 5: Solve for x
   x = 317,374,225/11,501
6. Step 6: Final answer
   x = 27,595.36