Finding the Third Proportional to 9,978.19 and 19,181.81

Step by Step Solution

1. Step 1: Write the proportion equation
   9,978.19 : 19,181.81 = 19,181.81 : x
2. Step 2: Convert to fraction form
   9,978.19/19,181.81 = 19,181.81/x
3. Step 3: Cross multiply
   9,978.19x = 19,181.81 × 19,181.81
4. Step 4: Simplify right side
   9,978.19x = 367,941,930.79
5. Step 5: Solve for x
   x = 367,941,930.79/9,978.19
6. Step 6: Final answer
   x = 36,874.63