Finding the Third Proportional to 1,946.53 and 2,292.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,946.53 : 2,292.05 = 2,292.05 : x
2. Step 2: Convert to fraction form
   1,946.53/2,292.05 = 2,292.05/x
3. Step 3: Cross multiply
   1,946.53x = 2,292.05 × 2,292.05
4. Step 4: Simplify right side
   1,946.53x = 5,253,478.88
5. Step 5: Solve for x
   x = 5,253,478.88/1,946.53
6. Step 6: Final answer
   x = 2,698.89