Finding the Third Proportional to 9,538 and 19,076

Step by Step Solution

1. Step 1: Write the proportion equation
   9,538 : 19,076 = 19,076 : x
2. Step 2: Convert to fraction form
   9,538/19,076 = 19,076/x
3. Step 3: Cross multiply
   9,538x = 19,076 × 19,076
4. Step 4: Simplify right side
   9,538x = 363,893,776
5. Step 5: Solve for x
   x = 363,893,776/9,538
6. Step 6: Final answer
   x = 38,152