Finding the Third Proportional to 31,174 and 64,565

Step by Step Solution

1. Step 1: Write the proportion equation
   31,174 : 64,565 = 64,565 : x
2. Step 2: Convert to fraction form
   31,174/64,565 = 64,565/x
3. Step 3: Cross multiply
   31,174x = 64,565 × 64,565
4. Step 4: Simplify right side
   31,174x = 4,168,639,225
5. Step 5: Solve for x
   x = 4,168,639,225/31,174
6. Step 6: Final answer
   x = 133,721.67