Finding the Third Proportional to 5,303 and 10,124

Step by Step Solution

1. Step 1: Write the proportion equation
   5,303 : 10,124 = 10,124 : x
2. Step 2: Convert to fraction form
   5,303/10,124 = 10,124/x
3. Step 3: Cross multiply
   5,303x = 10,124 × 10,124
4. Step 4: Simplify right side
   5,303x = 102,495,376
5. Step 5: Solve for x
   x = 102,495,376/5,303
6. Step 6: Final answer
   x = 19,327.81