Finding the Third Proportional to 9,414 and 22,301

Step by Step Solution

1. Step 1: Write the proportion equation
   9,414 : 22,301 = 22,301 : x
2. Step 2: Convert to fraction form
   9,414/22,301 = 22,301/x
3. Step 3: Cross multiply
   9,414x = 22,301 × 22,301
4. Step 4: Simplify right side
   9,414x = 497,334,601
5. Step 5: Solve for x
   x = 497,334,601/9,414
6. Step 6: Final answer
   x = 52,829.25