Finding the Third Proportional to 31,787 and 69,797

Step by Step Solution

1. Step 1: Write the proportion equation
   31,787 : 69,797 = 69,797 : x
2. Step 2: Convert to fraction form
   31,787/69,797 = 69,797/x
3. Step 3: Cross multiply
   31,787x = 69,797 × 69,797
4. Step 4: Simplify right side
   31,787x = 4,871,621,209
5. Step 5: Solve for x
   x = 4,871,621,209/31,787
6. Step 6: Final answer
   x = 153,258.29