Finding the Third Proportional to 9,196 and 19,850

Step by Step Solution

1. Step 1: Write the proportion equation
   9,196 : 19,850 = 19,850 : x
2. Step 2: Convert to fraction form
   9,196/19,850 = 19,850/x
3. Step 3: Cross multiply
   9,196x = 19,850 × 19,850
4. Step 4: Simplify right side
   9,196x = 394,022,500
5. Step 5: Solve for x
   x = 394,022,500/9,196
6. Step 6: Final answer
   x = 42,847.16