Finding the Third Proportional to 31,020 and 41,702

Step by Step Solution

1. Step 1: Write the proportion equation
   31,020 : 41,702 = 41,702 : x
2. Step 2: Convert to fraction form
   31,020/41,702 = 41,702/x
3. Step 3: Cross multiply
   31,020x = 41,702 × 41,702
4. Step 4: Simplify right side
   31,020x = 1,739,056,804
5. Step 5: Solve for x
   x = 1,739,056,804/31,020
6. Step 6: Final answer
   x = 56,062.44