Finding the Third Proportional to 27,114 and 63,345

Step by Step Solution

1. Step 1: Write the proportion equation
   27,114 : 63,345 = 63,345 : x
2. Step 2: Convert to fraction form
   27,114/63,345 = 63,345/x
3. Step 3: Cross multiply
   27,114x = 63,345 × 63,345
4. Step 4: Simplify right side
   27,114x = 4,012,589,025
5. Step 5: Solve for x
   x = 4,012,589,025/27,114
6. Step 6: Final answer
   x = 147,989.56