Finding the Third Proportional to 31,749 and 69,765

Step by Step Solution

1. Step 1: Write the proportion equation
   31,749 : 69,765 = 69,765 : x
2. Step 2: Convert to fraction form
   31,749/69,765 = 69,765/x
3. Step 3: Cross multiply
   31,749x = 69,765 × 69,765
4. Step 4: Simplify right side
   31,749x = 4,867,155,225
5. Step 5: Solve for x
   x = 4,867,155,225/31,749
6. Step 6: Final answer
   x = 153,301.06