Finding the Third Proportional to 1,345.78 and 1,926.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,345.78 : 1,926.56 = 1,926.56 : x
2. Step 2: Convert to fraction form
   1,345.78/1,926.56 = 1,926.56/x
3. Step 3: Cross multiply
   1,345.78x = 1,926.56 × 1,926.56
4. Step 4: Simplify right side
   1,345.78x = 3,711,643.07
5. Step 5: Solve for x
   x = 3,711,643.07/1,345.78
6. Step 6: Final answer
   x = 2,757.98