Finding the Third Proportional to 31,569.50 and 64,227

Step by Step Solution

1. Step 1: Write the proportion equation
   31,569.50 : 64,227 = 64,227 : x
2. Step 2: Convert to fraction form
   31,569.50/64,227 = 64,227/x
3. Step 3: Cross multiply
   31,569.50x = 64,227 × 64,227
4. Step 4: Simplify right side
   31,569.50x = 4,125,107,529
5. Step 5: Solve for x
   x = 4,125,107,529/31,569.50
6. Step 6: Final answer
   x = 130,667.50