Finding the Third Proportional to 31,267 and 64,615

Step by Step Solution

1. Step 1: Write the proportion equation
   31,267 : 64,615 = 64,615 : x
2. Step 2: Convert to fraction form
   31,267/64,615 = 64,615/x
3. Step 3: Cross multiply
   31,267x = 64,615 × 64,615
4. Step 4: Simplify right side
   31,267x = 4,175,098,225
5. Step 5: Solve for x
   x = 4,175,098,225/31,267
6. Step 6: Final answer
   x = 133,530.50