Finding the Third Proportional to 4,596.75 and 10,011.94

Step by Step Solution

1. Step 1: Write the proportion equation
   4,596.75 : 10,011.94 = 10,011.94 : x
2. Step 2: Convert to fraction form
   4,596.75/10,011.94 = 10,011.94/x
3. Step 3: Cross multiply
   4,596.75x = 10,011.94 × 10,011.94
4. Step 4: Simplify right side
   4,596.75x = 100,238,892.50
5. Step 5: Solve for x
   x = 100,238,892.50/4,596.75
6. Step 6: Final answer
   x = 21,806.47