Finding the Third Proportional to 23,501 and 35,242

Step by Step Solution

1. Step 1: Write the proportion equation
   23,501 : 35,242 = 35,242 : x
2. Step 2: Convert to fraction form
   23,501/35,242 = 35,242/x
3. Step 3: Cross multiply
   23,501x = 35,242 × 35,242
4. Step 4: Simplify right side
   23,501x = 1,241,998,564
5. Step 5: Solve for x
   x = 1,241,998,564/23,501
6. Step 6: Final answer
   x = 52,848.75