Finding the Third Proportional to 10,004 and 12,074

Step by Step Solution

1. Step 1: Write the proportion equation
   10,004 : 12,074 = 12,074 : x
2. Step 2: Convert to fraction form
   10,004/12,074 = 12,074/x
3. Step 3: Cross multiply
   10,004x = 12,074 × 12,074
4. Step 4: Simplify right side
   10,004x = 145,781,476
5. Step 5: Solve for x
   x = 145,781,476/10,004
6. Step 6: Final answer
   x = 14,572.32