Finding the Third Proportional to 69,277 and 105,009

Step by Step Solution

1. Step 1: Write the proportion equation
   69,277 : 105,009 = 105,009 : x
2. Step 2: Convert to fraction form
   69,277/105,009 = 105,009/x
3. Step 3: Cross multiply
   69,277x = 105,009 × 105,009
4. Step 4: Simplify right side
   69,277x = 11,026,890,081
5. Step 5: Solve for x
   x = 11,026,890,081/69,277
6. Step 6: Final answer
   x = 159,171.01