Finding the Third Proportional to 69,856 and 107,036

Step by Step Solution

1. Step 1: Write the proportion equation
   69,856 : 107,036 = 107,036 : x
2. Step 2: Convert to fraction form
   69,856/107,036 = 107,036/x
3. Step 3: Cross multiply
   69,856x = 107,036 × 107,036
4. Step 4: Simplify right side
   69,856x = 11,456,705,296
5. Step 5: Solve for x
   x = 11,456,705,296/69,856
6. Step 6: Final answer
   x = 164,004.60