Finding the Third Proportional to 9,642 and 23,199

Step by Step Solution

1. Step 1: Write the proportion equation
   9,642 : 23,199 = 23,199 : x
2. Step 2: Convert to fraction form
   9,642/23,199 = 23,199/x
3. Step 3: Cross multiply
   9,642x = 23,199 × 23,199
4. Step 4: Simplify right side
   9,642x = 538,193,601
5. Step 5: Solve for x
   x = 538,193,601/9,642
6. Step 6: Final answer
   x = 55,817.63