Finding the Third Proportional to 22,461 and 35,233

Step by Step Solution

1. Step 1: Write the proportion equation
   22,461 : 35,233 = 35,233 : x
2. Step 2: Convert to fraction form
   22,461/35,233 = 35,233/x
3. Step 3: Cross multiply
   22,461x = 35,233 × 35,233
4. Step 4: Simplify right side
   22,461x = 1,241,364,289
5. Step 5: Solve for x
   x = 1,241,364,289/22,461
6. Step 6: Final answer
   x = 55,267.54