Finding the Third Proportional to 17,644 and 34,840

Step by Step Solution

1. Step 1: Write the proportion equation
   17,644 : 34,840 = 34,840 : x
2. Step 2: Convert to fraction form
   17,644/34,840 = 34,840/x
3. Step 3: Cross multiply
   17,644x = 34,840 × 34,840
4. Step 4: Simplify right side
   17,644x = 1,213,825,600
5. Step 5: Solve for x
   x = 1,213,825,600/17,644
6. Step 6: Final answer
   x = 68,795.38