Finding the Third Proportional to 13,009 and 30,674.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,009 : 30,674.50 = 30,674.50 : x
2. Step 2: Convert to fraction form
   13,009/30,674.50 = 30,674.50/x
3. Step 3: Cross multiply
   13,009x = 30,674.50 × 30,674.50
4. Step 4: Simplify right side
   13,009x = 940,924,950.25
5. Step 5: Solve for x
   x = 940,924,950.25/13,009
6. Step 6: Final answer
   x = 72,328.77