Finding the Third Proportional to 45,932 and 69,814

Step by Step Solution

1. Step 1: Write the proportion equation
   45,932 : 69,814 = 69,814 : x
2. Step 2: Convert to fraction form
   45,932/69,814 = 69,814/x
3. Step 3: Cross multiply
   45,932x = 69,814 × 69,814
4. Step 4: Simplify right side
   45,932x = 4,873,994,596
5. Step 5: Solve for x
   x = 4,873,994,596/45,932
6. Step 6: Final answer
   x = 106,113.27