Finding the Third Proportional to 46,384 and 69,788

Step by Step Solution

1. Step 1: Write the proportion equation
   46,384 : 69,788 = 69,788 : x
2. Step 2: Convert to fraction form
   46,384/69,788 = 69,788/x
3. Step 3: Cross multiply
   46,384x = 69,788 × 69,788
4. Step 4: Simplify right side
   46,384x = 4,870,364,944
5. Step 5: Solve for x
   x = 4,870,364,944/46,384
6. Step 6: Final answer
   x = 105,000.97