Finding the Third Proportional to 5,410 and 13,160

Step by Step Solution

1. Step 1: Write the proportion equation
   5,410 : 13,160 = 13,160 : x
2. Step 2: Convert to fraction form
   5,410/13,160 = 13,160/x
3. Step 3: Cross multiply
   5,410x = 13,160 × 13,160
4. Step 4: Simplify right side
   5,410x = 173,185,600
5. Step 5: Solve for x
   x = 173,185,600/5,410
6. Step 6: Final answer
   x = 32,012.13