Finding the Third Proportional to 45,814 and 69,366

Step by Step Solution

1. Step 1: Write the proportion equation
   45,814 : 69,366 = 69,366 : x
2. Step 2: Convert to fraction form
   45,814/69,366 = 69,366/x
3. Step 3: Cross multiply
   45,814x = 69,366 × 69,366
4. Step 4: Simplify right side
   45,814x = 4,811,641,956
5. Step 5: Solve for x
   x = 4,811,641,956/45,814
6. Step 6: Final answer
   x = 105,025.58