Finding the Third Proportional to 31,783 and 69,101

Step by Step Solution

1. Step 1: Write the proportion equation
   31,783 : 69,101 = 69,101 : x
2. Step 2: Convert to fraction form
   31,783/69,101 = 69,101/x
3. Step 3: Cross multiply
   31,783x = 69,101 × 69,101
4. Step 4: Simplify right side
   31,783x = 4,774,948,201
5. Step 5: Solve for x
   x = 4,774,948,201/31,783
6. Step 6: Final answer
   x = 150,235.92