Finding the Third Proportional to 23,688 and 51,084

Step by Step Solution

1. Step 1: Write the proportion equation
   23,688 : 51,084 = 51,084 : x
2. Step 2: Convert to fraction form
   23,688/51,084 = 51,084/x
3. Step 3: Cross multiply
   23,688x = 51,084 × 51,084
4. Step 4: Simplify right side
   23,688x = 2,609,575,056
5. Step 5: Solve for x
   x = 2,609,575,056/23,688
6. Step 6: Final answer
   x = 110,164.43