Finding the Third Proportional to 35,609 and 52,864.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,609 : 52,864.50 = 52,864.50 : x
2. Step 2: Convert to fraction form
   35,609/52,864.50 = 52,864.50/x
3. Step 3: Cross multiply
   35,609x = 52,864.50 × 52,864.50
4. Step 4: Simplify right side
   35,609x = 2,794,655,360.25
5. Step 5: Solve for x
   x = 2,794,655,360.25/35,609
6. Step 6: Final answer
   x = 78,481.71