Finding the Third Proportional to 1,300.78 and 1,946.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,300.78 : 1,946.53 = 1,946.53 : x
2. Step 2: Convert to fraction form
   1,300.78/1,946.53 = 1,946.53/x
3. Step 3: Cross multiply
   1,300.78x = 1,946.53 × 1,946.53
4. Step 4: Simplify right side
   1,300.78x = 3,788,983.91
5. Step 5: Solve for x
   x = 3,788,983.91/1,300.78
6. Step 6: Final answer
   x = 2,912.85