Finding the Third Proportional to 4,596.75 and 10,074.38

Step by Step Solution

1. Step 1: Write the proportion equation
   4,596.75 : 10,074.38 = 10,074.38 : x
2. Step 2: Convert to fraction form
   4,596.75/10,074.38 = 10,074.38/x
3. Step 3: Cross multiply
   4,596.75x = 10,074.38 × 10,074.38
4. Step 4: Simplify right side
   4,596.75x = 101,493,031.64
5. Step 5: Solve for x
   x = 101,493,031.64/4,596.75
6. Step 6: Final answer
   x = 22,079.30