Finding the Third Proportional to 43,782 and 69,338.25

Step by Step Solution

1. Step 1: Write the proportion equation
   43,782 : 69,338.25 = 69,338.25 : x
2. Step 2: Convert to fraction form
   43,782/69,338.25 = 69,338.25/x
3. Step 3: Cross multiply
   43,782x = 69,338.25 × 69,338.25
4. Step 4: Simplify right side
   43,782x = 4,807,792,913.06
5. Step 5: Solve for x
   x = 4,807,792,913.06/43,782
6. Step 6: Final answer
   x = 109,812.09