Finding the Third Proportional to 49,320 and 69,786.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,320 : 69,786.50 = 69,786.50 : x
2. Step 2: Convert to fraction form
   49,320/69,786.50 = 69,786.50/x
3. Step 3: Cross multiply
   49,320x = 69,786.50 × 69,786.50
4. Step 4: Simplify right side
   49,320x = 4,870,155,582.25
5. Step 5: Solve for x
   x = 4,870,155,582.25/49,320
6. Step 6: Final answer
   x = 98,746.06