Finding the Third Proportional to 30,539 and 65,109.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,539 : 65,109.50 = 65,109.50 : x
2. Step 2: Convert to fraction form
   30,539/65,109.50 = 65,109.50/x
3. Step 3: Cross multiply
   30,539x = 65,109.50 × 65,109.50
4. Step 4: Simplify right side
   30,539x = 4,239,246,990.25
5. Step 5: Solve for x
   x = 4,239,246,990.25/30,539
6. Step 6: Final answer
   x = 138,814.20