Finding the Third Proportional to 31,809 and 69,099

Step by Step Solution

1. Step 1: Write the proportion equation
   31,809 : 69,099 = 69,099 : x
2. Step 2: Convert to fraction form
   31,809/69,099 = 69,099/x
3. Step 3: Cross multiply
   31,809x = 69,099 × 69,099
4. Step 4: Simplify right side
   31,809x = 4,774,671,801
5. Step 5: Solve for x
   x = 4,774,671,801/31,809
6. Step 6: Final answer
   x = 150,104.43