Finding the Third Proportional to 7,164 and 17,362

Step by Step Solution

1. Step 1: Write the proportion equation
   7,164 : 17,362 = 17,362 : x
2. Step 2: Convert to fraction form
   7,164/17,362 = 17,362/x
3. Step 3: Cross multiply
   7,164x = 17,362 × 17,362
4. Step 4: Simplify right side
   7,164x = 301,439,044
5. Step 5: Solve for x
   x = 301,439,044/7,164
6. Step 6: Final answer
   x = 42,076.92