Finding the Third Proportional to 23,520 and 35,284

Step by Step Solution

1. Step 1: Write the proportion equation
   23,520 : 35,284 = 35,284 : x
2. Step 2: Convert to fraction form
   23,520/35,284 = 35,284/x
3. Step 3: Cross multiply
   23,520x = 35,284 × 35,284
4. Step 4: Simplify right side
   23,520x = 1,244,960,656
5. Step 5: Solve for x
   x = 1,244,960,656/23,520
6. Step 6: Final answer
   x = 52,932.00