Finding the Third Proportional to 13,670 and 21,074

Step by Step Solution

1. Step 1: Write the proportion equation
   13,670 : 21,074 = 21,074 : x
2. Step 2: Convert to fraction form
   13,670/21,074 = 21,074/x
3. Step 3: Cross multiply
   13,670x = 21,074 × 21,074
4. Step 4: Simplify right side
   13,670x = 444,113,476
5. Step 5: Solve for x
   x = 444,113,476/13,670
6. Step 6: Final answer
   x = 32,488.18