Finding the Third Proportional to 31,190 and 64,214

Step by Step Solution

1. Step 1: Write the proportion equation
   31,190 : 64,214 = 64,214 : x
2. Step 2: Convert to fraction form
   31,190/64,214 = 64,214/x
3. Step 3: Cross multiply
   31,190x = 64,214 × 64,214
4. Step 4: Simplify right side
   31,190x = 4,123,437,796
5. Step 5: Solve for x
   x = 4,123,437,796/31,190
6. Step 6: Final answer
   x = 132,203.84