Finding the Third Proportional to 31,971 and 69,773

Step by Step Solution

1. Step 1: Write the proportion equation
   31,971 : 69,773 = 69,773 : x
2. Step 2: Convert to fraction form
   31,971/69,773 = 69,773/x
3. Step 3: Cross multiply
   31,971x = 69,773 × 69,773
4. Step 4: Simplify right side
   31,971x = 4,868,271,529
5. Step 5: Solve for x
   x = 4,868,271,529/31,971
6. Step 6: Final answer
   x = 152,271.48