Finding the Third Proportional to 31,666 and 42,504

Step by Step Solution

1. Step 1: Write the proportion equation
   31,666 : 42,504 = 42,504 : x
2. Step 2: Convert to fraction form
   31,666/42,504 = 42,504/x
3. Step 3: Cross multiply
   31,666x = 42,504 × 42,504
4. Step 4: Simplify right side
   31,666x = 1,806,590,016
5. Step 5: Solve for x
   x = 1,806,590,016/31,666
6. Step 6: Final answer
   x = 57,051.41