Finding the Third Proportional to 13,007 and 30,694.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,007 : 30,694.50 = 30,694.50 : x
2. Step 2: Convert to fraction form
   13,007/30,694.50 = 30,694.50/x
3. Step 3: Cross multiply
   13,007x = 30,694.50 × 30,694.50
4. Step 4: Simplify right side
   13,007x = 942,152,330.25
5. Step 5: Solve for x
   x = 942,152,330.25/13,007
6. Step 6: Final answer
   x = 72,434.25