Finding the Third Proportional to 10,064 and 12,848

Step by Step Solution

1. Step 1: Write the proportion equation
   10,064 : 12,848 = 12,848 : x
2. Step 2: Convert to fraction form
   10,064/12,848 = 12,848/x
3. Step 3: Cross multiply
   10,064x = 12,848 × 12,848
4. Step 4: Simplify right side
   10,064x = 165,071,104
5. Step 5: Solve for x
   x = 165,071,104/10,064
6. Step 6: Final answer
   x = 16,402.14