Finding the Third Proportional to 31,662 and 69,201

Step by Step Solution

1. Step 1: Write the proportion equation
   31,662 : 69,201 = 69,201 : x
2. Step 2: Convert to fraction form
   31,662/69,201 = 69,201/x
3. Step 3: Cross multiply
   31,662x = 69,201 × 69,201
4. Step 4: Simplify right side
   31,662x = 4,788,778,401
5. Step 5: Solve for x
   x = 4,788,778,401/31,662
6. Step 6: Final answer
   x = 151,246.87