Finding the Third Proportional to 36,571.50 and 78,742.13

Step by Step Solution

1. Step 1: Write the proportion equation
   36,571.50 : 78,742.13 = 78,742.13 : x
2. Step 2: Convert to fraction form
   36,571.50/78,742.13 = 78,742.13/x
3. Step 3: Cross multiply
   36,571.50x = 78,742.13 × 78,742.13
4. Step 4: Simplify right side
   36,571.50x = 6,200,322,249.52
5. Step 5: Solve for x
   x = 6,200,322,249.52/36,571.50
6. Step 6: Final answer
   x = 169,539.73