Finding the Third Proportional to 17,644 and 42,652

Step by Step Solution

1. Step 1: Write the proportion equation
   17,644 : 42,652 = 42,652 : x
2. Step 2: Convert to fraction form
   17,644/42,652 = 42,652/x
3. Step 3: Cross multiply
   17,644x = 42,652 × 42,652
4. Step 4: Simplify right side
   17,644x = 1,819,193,104
5. Step 5: Solve for x
   x = 1,819,193,104/17,644
6. Step 6: Final answer
   x = 103,105.48