Finding the Third Proportional to 13,007 and 31,458

Step by Step Solution

1. Step 1: Write the proportion equation
   13,007 : 31,458 = 31,458 : x
2. Step 2: Convert to fraction form
   13,007/31,458 = 31,458/x
3. Step 3: Cross multiply
   13,007x = 31,458 × 31,458
4. Step 4: Simplify right side
   13,007x = 989,605,764
5. Step 5: Solve for x
   x = 989,605,764/13,007
6. Step 6: Final answer
   x = 76,082.55