Finding the Third Proportional to 31,570 and 64,228

Step by Step Solution

1. Step 1: Write the proportion equation
   31,570 : 64,228 = 64,228 : x
2. Step 2: Convert to fraction form
   31,570/64,228 = 64,228/x
3. Step 3: Cross multiply
   31,570x = 64,228 × 64,228
4. Step 4: Simplify right side
   31,570x = 4,125,235,984
5. Step 5: Solve for x
   x = 4,125,235,984/31,570
6. Step 6: Final answer
   x = 130,669.50