Finding the Third Proportional to 9,782 and 19,074

Step by Step Solution

1. Step 1: Write the proportion equation
   9,782 : 19,074 = 19,074 : x
2. Step 2: Convert to fraction form
   9,782/19,074 = 19,074/x
3. Step 3: Cross multiply
   9,782x = 19,074 × 19,074
4. Step 4: Simplify right side
   9,782x = 363,817,476
5. Step 5: Solve for x
   x = 363,817,476/9,782
6. Step 6: Final answer
   x = 37,192.55