Finding the Third Proportional to 14,601 and 31,791

Step by Step Solution

1. Step 1: Write the proportion equation
   14,601 : 31,791 = 31,791 : x
2. Step 2: Convert to fraction form
   14,601/31,791 = 31,791/x
3. Step 3: Cross multiply
   14,601x = 31,791 × 31,791
4. Step 4: Simplify right side
   14,601x = 1,010,667,681
5. Step 5: Solve for x
   x = 1,010,667,681/14,601
6. Step 6: Final answer
   x = 69,219.07