Finding the Third Proportional to 31,746 and 70,024

Step by Step Solution

1. Step 1: Write the proportion equation
   31,746 : 70,024 = 70,024 : x
2. Step 2: Convert to fraction form
   31,746/70,024 = 70,024/x
3. Step 3: Cross multiply
   31,746x = 70,024 × 70,024
4. Step 4: Simplify right side
   31,746x = 4,903,360,576
5. Step 5: Solve for x
   x = 4,903,360,576/31,746
6. Step 6: Final answer
   x = 154,456.01