Finding the Third Proportional to 7,974 and 13,410

Step by Step Solution

1. Step 1: Write the proportion equation
   7,974 : 13,410 = 13,410 : x
2. Step 2: Convert to fraction form
   7,974/13,410 = 13,410/x
3. Step 3: Cross multiply
   7,974x = 13,410 × 13,410
4. Step 4: Simplify right side
   7,974x = 179,828,100
5. Step 5: Solve for x
   x = 179,828,100/7,974
6. Step 6: Final answer
   x = 22,551.81