Finding the Third Proportional to 22,677 and 34,038

Step by Step Solution

1. Step 1: Write the proportion equation
   22,677 : 34,038 = 34,038 : x
2. Step 2: Convert to fraction form
   22,677/34,038 = 34,038/x
3. Step 3: Cross multiply
   22,677x = 34,038 × 34,038
4. Step 4: Simplify right side
   22,677x = 1,158,585,444
5. Step 5: Solve for x
   x = 1,158,585,444/22,677
6. Step 6: Final answer
   x = 51,090.77