Finding the Third Proportional to 30,809 and 64,345

Step by Step Solution

1. Step 1: Write the proportion equation
   30,809 : 64,345 = 64,345 : x
2. Step 2: Convert to fraction form
   30,809/64,345 = 64,345/x
3. Step 3: Cross multiply
   30,809x = 64,345 × 64,345
4. Step 4: Simplify right side
   30,809x = 4,140,279,025
5. Step 5: Solve for x
   x = 4,140,279,025/30,809
6. Step 6: Final answer
   x = 134,385.38