Finding the Third Proportional to 4,830.75 and 10,096.88

Step by Step Solution

1. Step 1: Write the proportion equation
   4,830.75 : 10,096.88 = 10,096.88 : x
2. Step 2: Convert to fraction form
   4,830.75/10,096.88 = 10,096.88/x
3. Step 3: Cross multiply
   4,830.75x = 10,096.88 × 10,096.88
4. Step 4: Simplify right side
   4,830.75x = 101,946,884.77
5. Step 5: Solve for x
   x = 101,946,884.77/4,830.75
6. Step 6: Final answer
   x = 21,103.74