Finding the Third Proportional to 4,947.75 and 7,468.88

Step by Step Solution

1. Step 1: Write the proportion equation
   4,947.75 : 7,468.88 = 7,468.88 : x
2. Step 2: Convert to fraction form
   4,947.75/7,468.88 = 7,468.88/x
3. Step 3: Cross multiply
   4,947.75x = 7,468.88 × 7,468.88
4. Step 4: Simplify right side
   4,947.75x = 55,784,093.77
5. Step 5: Solve for x
   x = 55,784,093.77/4,947.75
6. Step 6: Final answer
   x = 11,274.64