Finding the Third Proportional to 23,224 and 35,382

Step by Step Solution

1. Step 1: Write the proportion equation
   23,224 : 35,382 = 35,382 : x
2. Step 2: Convert to fraction form
   23,224/35,382 = 35,382/x
3. Step 3: Cross multiply
   23,224x = 35,382 × 35,382
4. Step 4: Simplify right side
   23,224x = 1,251,885,924
5. Step 5: Solve for x
   x = 1,251,885,924/23,224
6. Step 6: Final answer
   x = 53,904.84