Finding the Third Proportional to 31,666 and 69,652

Step by Step Solution

1. Step 1: Write the proportion equation
   31,666 : 69,652 = 69,652 : x
2. Step 2: Convert to fraction form
   31,666/69,652 = 69,652/x
3. Step 3: Cross multiply
   31,666x = 69,652 × 69,652
4. Step 4: Simplify right side
   31,666x = 4,851,401,104
5. Step 5: Solve for x
   x = 4,851,401,104/31,666
6. Step 6: Final answer
   x = 153,205.37