Finding the Third Proportional to 13,509 and 31,279.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,509 : 31,279.50 = 31,279.50 : x
2. Step 2: Convert to fraction form
   13,509/31,279.50 = 31,279.50/x
3. Step 3: Cross multiply
   13,509x = 31,279.50 × 31,279.50
4. Step 4: Simplify right side
   13,509x = 978,407,120.25
5. Step 5: Solve for x
   x = 978,407,120.25/13,509
6. Step 6: Final answer
   x = 72,426.32