Finding the Third Proportional to 23,166 and 35,478

Step by Step Solution

1. Step 1: Write the proportion equation
   23,166 : 35,478 = 35,478 : x
2. Step 2: Convert to fraction form
   23,166/35,478 = 35,478/x
3. Step 3: Cross multiply
   23,166x = 35,478 × 35,478
4. Step 4: Simplify right side
   23,166x = 1,258,688,484
5. Step 5: Solve for x
   x = 1,258,688,484/23,166
6. Step 6: Final answer
   x = 54,333.44