Finding the Third Proportional to 9,142 and 19,634

Step by Step Solution

1. Step 1: Write the proportion equation
   9,142 : 19,634 = 19,634 : x
2. Step 2: Convert to fraction form
   9,142/19,634 = 19,634/x
3. Step 3: Cross multiply
   9,142x = 19,634 × 19,634
4. Step 4: Simplify right side
   9,142x = 385,493,956
5. Step 5: Solve for x
   x = 385,493,956/9,142
6. Step 6: Final answer
   x = 42,167.35