Finding the Third Proportional to 14,519 and 31,807

Step by Step Solution

1. Step 1: Write the proportion equation
   14,519 : 31,807 = 31,807 : x
2. Step 2: Convert to fraction form
   14,519/31,807 = 31,807/x
3. Step 3: Cross multiply
   14,519x = 31,807 × 31,807
4. Step 4: Simplify right side
   14,519x = 1,011,685,249
5. Step 5: Solve for x
   x = 1,011,685,249/14,519
6. Step 6: Final answer
   x = 69,680.09