Finding the Third Proportional to 13,007 and 30,693

Step by Step Solution

1. Step 1: Write the proportion equation
   13,007 : 30,693 = 30,693 : x
2. Step 2: Convert to fraction form
   13,007/30,693 = 30,693/x
3. Step 3: Cross multiply
   13,007x = 30,693 × 30,693
4. Step 4: Simplify right side
   13,007x = 942,060,249
5. Step 5: Solve for x
   x = 942,060,249/13,007
6. Step 6: Final answer
   x = 72,427.17