Finding the Third Proportional to 1,258.88 and 1,947.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,258.88 : 1,947.06 = 1,947.06 : x
2. Step 2: Convert to fraction form
   1,258.88/1,947.06 = 1,947.06/x
3. Step 3: Cross multiply
   1,258.88x = 1,947.06 × 1,947.06
4. Step 4: Simplify right side
   1,258.88x = 3,791,052.38
5. Step 5: Solve for x
   x = 3,791,052.38/1,258.88
6. Step 6: Final answer
   x = 3,011.46