Finding the Third Proportional to 21,899 and 34,199

Step by Step Solution

1. Step 1: Write the proportion equation
   21,899 : 34,199 = 34,199 : x
2. Step 2: Convert to fraction form
   21,899/34,199 = 34,199/x
3. Step 3: Cross multiply
   21,899x = 34,199 × 34,199
4. Step 4: Simplify right side
   21,899x = 1,169,571,601
5. Step 5: Solve for x
   x = 1,169,571,601/21,899
6. Step 6: Final answer
   x = 53,407.53