Finding the Third Proportional to 36,835.88 and 80,419.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,835.88 : 80,419.50 = 80,419.50 : x
2. Step 2: Convert to fraction form
   36,835.88/80,419.50 = 80,419.50/x
3. Step 3: Cross multiply
   36,835.88x = 80,419.50 × 80,419.50
4. Step 4: Simplify right side
   36,835.88x = 6,467,295,980.25
5. Step 5: Solve for x
   x = 6,467,295,980.25/36,835.88
6. Step 6: Final answer
   x = 175,570.58