Finding the Third Proportional to 1,213.31 and 2,740.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,213.31 : 2,740.78 = 2,740.78 : x
2. Step 2: Convert to fraction form
   1,213.31/2,740.78 = 2,740.78/x
3. Step 3: Cross multiply
   1,213.31x = 2,740.78 × 2,740.78
4. Step 4: Simplify right side
   1,213.31x = 7,511,881.86
5. Step 5: Solve for x
   x = 7,511,881.86/1,213.31
6. Step 6: Final answer
   x = 6,191.22