Finding the Third Proportional to 2,194.73 and 4,697.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,194.73 : 4,697.02 = 4,697.02 : x
2. Step 2: Convert to fraction form
   2,194.73/4,697.02 = 4,697.02/x
3. Step 3: Cross multiply
   2,194.73x = 4,697.02 × 4,697.02
4. Step 4: Simplify right side
   2,194.73x = 22,061,955.78
5. Step 5: Solve for x
   x = 22,061,955.78/2,194.73
6. Step 6: Final answer
   x = 10,052.22