Finding the Third Proportional to 31,758 and 71,032

Step by Step Solution

1. Step 1: Write the proportion equation
   31,758 : 71,032 = 71,032 : x
2. Step 2: Convert to fraction form
   31,758/71,032 = 71,032/x
3. Step 3: Cross multiply
   31,758x = 71,032 × 71,032
4. Step 4: Simplify right side
   31,758x = 5,045,545,024
5. Step 5: Solve for x
   x = 5,045,545,024/31,758
6. Step 6: Final answer
   x = 158,874.77