Finding the Third Proportional to 1,029 and 2,258.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,029 : 2,258.50 = 2,258.50 : x
2. Step 2: Convert to fraction form
   1,029/2,258.50 = 2,258.50/x
3. Step 3: Cross multiply
   1,029x = 2,258.50 × 2,258.50
4. Step 4: Simplify right side
   1,029x = 5,100,822.25
5. Step 5: Solve for x
   x = 5,100,822.25/1,029
6. Step 6: Final answer
   x = 4,957.07