Finding the Third Proportional to 1,476.87 and 2,146.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,476.87 : 2,146.42 = 2,146.42 : x
2. Step 2: Convert to fraction form
   1,476.87/2,146.42 = 2,146.42/x
3. Step 3: Cross multiply
   1,476.87x = 2,146.42 × 2,146.42
4. Step 4: Simplify right side
   1,476.87x = 4,607,122.67
5. Step 5: Solve for x
   x = 4,607,122.67/1,476.87
6. Step 6: Final answer
   x = 3,119.53