Finding the Third Proportional to 2,947.32 and 4,600.39

Step by Step Solution

1. Step 1: Write the proportion equation
   2,947.32 : 4,600.39 = 4,600.39 : x
2. Step 2: Convert to fraction form
   2,947.32/4,600.39 = 4,600.39/x
3. Step 3: Cross multiply
   2,947.32x = 4,600.39 × 4,600.39
4. Step 4: Simplify right side
   2,947.32x = 21,163,575.93
5. Step 5: Solve for x
   x = 21,163,575.93/2,947.32
6. Step 6: Final answer
   x = 7,180.61