Finding the Third Proportional to 1,947.94 and 5,114.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,947.94 : 5,114.75 = 5,114.75 : x
2. Step 2: Convert to fraction form
   1,947.94/5,114.75 = 5,114.75/x
3. Step 3: Cross multiply
   1,947.94x = 5,114.75 × 5,114.75
4. Step 4: Simplify right side
   1,947.94x = 26,160,667.56
5. Step 5: Solve for x
   x = 26,160,667.56/1,947.94
6. Step 6: Final answer
   x = 13,429.93