Finding the Third Proportional to 4,700.63 and 10,306.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,700.63 : 10,306.50 = 10,306.50 : x
2. Step 2: Convert to fraction form
   4,700.63/10,306.50 = 10,306.50/x
3. Step 3: Cross multiply
   4,700.63x = 10,306.50 × 10,306.50
4. Step 4: Simplify right side
   4,700.63x = 106,223,942.25
5. Step 5: Solve for x
   x = 106,223,942.25/4,700.63
6. Step 6: Final answer
   x = 22,597.83