Finding the Third Proportional to 69,275 and 105,006

Step by Step Solution

1. Step 1: Write the proportion equation
   69,275 : 105,006 = 105,006 : x
2. Step 2: Convert to fraction form
   69,275/105,006 = 105,006/x
3. Step 3: Cross multiply
   69,275x = 105,006 × 105,006
4. Step 4: Simplify right side
   69,275x = 11,026,260,036
5. Step 5: Solve for x
   x = 11,026,260,036/69,275
6. Step 6: Final answer
   x = 159,166.51