Finding the Third Proportional to 4,762.69 and 10,213.88

Step by Step Solution

1. Step 1: Write the proportion equation
   4,762.69 : 10,213.88 = 10,213.88 : x
2. Step 2: Convert to fraction form
   4,762.69/10,213.88 = 10,213.88/x
3. Step 3: Cross multiply
   4,762.69x = 10,213.88 × 10,213.88
4. Step 4: Simplify right side
   4,762.69x = 104,323,242.52
5. Step 5: Solve for x
   x = 104,323,242.52/4,762.69
6. Step 6: Final answer
   x = 21,904.28