Finding the Third Proportional to 9,778.50 and 19,902

Step by Step Solution

1. Step 1: Write the proportion equation
   9,778.50 : 19,902 = 19,902 : x
2. Step 2: Convert to fraction form
   9,778.50/19,902 = 19,902/x
3. Step 3: Cross multiply
   9,778.50x = 19,902 × 19,902
4. Step 4: Simplify right side
   9,778.50x = 396,089,604
5. Step 5: Solve for x
   x = 396,089,604/9,778.50
6. Step 6: Final answer
   x = 40,506.17