Finding the Third Proportional to 1,147 and 1,680.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,147 : 1,680.50 = 1,680.50 : x
2. Step 2: Convert to fraction form
   1,147/1,680.50 = 1,680.50/x
3. Step 3: Cross multiply
   1,147x = 1,680.50 × 1,680.50
4. Step 4: Simplify right side
   1,147x = 2,824,080.25
5. Step 5: Solve for x
   x = 2,824,080.25/1,147
6. Step 6: Final answer
   x = 2,462.14