Finding the Third Proportional to 1,478 and 1,972.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,478 : 1,972.31 = 1,972.31 : x
2. Step 2: Convert to fraction form
   1,478/1,972.31 = 1,972.31/x
3. Step 3: Cross multiply
   1,478x = 1,972.31 × 1,972.31
4. Step 4: Simplify right side
   1,478x = 3,890,016.60
5. Step 5: Solve for x
   x = 3,890,016.60/1,478
6. Step 6: Final answer
   x = 2,631.95