Finding the Third Proportional to 11,788 and 18,522

Step by Step Solution

1. Step 1: Write the proportion equation
   11,788 : 18,522 = 18,522 : x
2. Step 2: Convert to fraction form
   11,788/18,522 = 18,522/x
3. Step 3: Cross multiply
   11,788x = 18,522 × 18,522
4. Step 4: Simplify right side
   11,788x = 343,064,484
5. Step 5: Solve for x
   x = 343,064,484/11,788
6. Step 6: Final answer
   x = 29,102.86