Finding the Third Proportional to 1,926.28 and 2,364.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,926.28 : 2,364.82 = 2,364.82 : x
2. Step 2: Convert to fraction form
   1,926.28/2,364.82 = 2,364.82/x
3. Step 3: Cross multiply
   1,926.28x = 2,364.82 × 2,364.82
4. Step 4: Simplify right side
   1,926.28x = 5,592,375.11
5. Step 5: Solve for x
   x = 5,592,375.11/1,926.28
6. Step 6: Final answer
   x = 2,903.20