Finding the Third Proportional to 5,152 and 10,430

Step by Step Solution

1. Step 1: Write the proportion equation
   5,152 : 10,430 = 10,430 : x
2. Step 2: Convert to fraction form
   5,152/10,430 = 10,430/x
3. Step 3: Cross multiply
   5,152x = 10,430 × 10,430
4. Step 4: Simplify right side
   5,152x = 108,784,900
5. Step 5: Solve for x
   x = 108,784,900/5,152
6. Step 6: Final answer
   x = 21,115.08