Finding the Third Proportional to 23,464 and 35,308

Step by Step Solution

1. Step 1: Write the proportion equation
   23,464 : 35,308 = 35,308 : x
2. Step 2: Convert to fraction form
   23,464/35,308 = 35,308/x
3. Step 3: Cross multiply
   23,464x = 35,308 × 35,308
4. Step 4: Simplify right side
   23,464x = 1,246,654,864
5. Step 5: Solve for x
   x = 1,246,654,864/23,464
6. Step 6: Final answer
   x = 53,130.53