Finding the Third Proportional to 22,677 and 35,199

Step by Step Solution

1. Step 1: Write the proportion equation
   22,677 : 35,199 = 35,199 : x
2. Step 2: Convert to fraction form
   22,677/35,199 = 35,199/x
3. Step 3: Cross multiply
   22,677x = 35,199 × 35,199
4. Step 4: Simplify right side
   22,677x = 1,238,969,601
5. Step 5: Solve for x
   x = 1,238,969,601/22,677
6. Step 6: Final answer
   x = 54,635.52