Finding the Third Proportional to 43,509 and 58,270.50

Step by Step Solution

1. Step 1: Write the proportion equation
   43,509 : 58,270.50 = 58,270.50 : x
2. Step 2: Convert to fraction form
   43,509/58,270.50 = 58,270.50/x
3. Step 3: Cross multiply
   43,509x = 58,270.50 × 58,270.50
4. Step 4: Simplify right side
   43,509x = 3,395,451,170.25
5. Step 5: Solve for x
   x = 3,395,451,170.25/43,509
6. Step 6: Final answer
   x = 78,040.20