Finding the Third Proportional to 31,678 and 69,710

Step by Step Solution

1. Step 1: Write the proportion equation
   31,678 : 69,710 = 69,710 : x
2. Step 2: Convert to fraction form
   31,678/69,710 = 69,710/x
3. Step 3: Cross multiply
   31,678x = 69,710 × 69,710
4. Step 4: Simplify right side
   31,678x = 4,859,484,100
5. Step 5: Solve for x
   x = 4,859,484,100/31,678
6. Step 6: Final answer
   x = 153,402.49