Finding the Third Proportional to 13,534 and 17,795

Step by Step Solution

1. Step 1: Write the proportion equation
   13,534 : 17,795 = 17,795 : x
2. Step 2: Convert to fraction form
   13,534/17,795 = 17,795/x
3. Step 3: Cross multiply
   13,534x = 17,795 × 17,795
4. Step 4: Simplify right side
   13,534x = 316,662,025
5. Step 5: Solve for x
   x = 316,662,025/13,534
6. Step 6: Final answer
   x = 23,397.52