Finding the Third Proportional to 45,714 and 69,454

Step by Step Solution

1. Step 1: Write the proportion equation
   45,714 : 69,454 = 69,454 : x
2. Step 2: Convert to fraction form
   45,714/69,454 = 69,454/x
3. Step 3: Cross multiply
   45,714x = 69,454 × 69,454
4. Step 4: Simplify right side
   45,714x = 4,823,858,116
5. Step 5: Solve for x
   x = 4,823,858,116/45,714
6. Step 6: Final answer
   x = 105,522.56