Finding the Third Proportional to 45,627 and 69,849

Step by Step Solution

1. Step 1: Write the proportion equation
   45,627 : 69,849 = 69,849 : x
2. Step 2: Convert to fraction form
   45,627/69,849 = 69,849/x
3. Step 3: Cross multiply
   45,627x = 69,849 × 69,849
4. Step 4: Simplify right side
   45,627x = 4,878,882,801
5. Step 5: Solve for x
   x = 4,878,882,801/45,627
6. Step 6: Final answer
   x = 106,929.73