Finding the Third Proportional to 36,756 and 80,172

Step by Step Solution

1. Step 1: Write the proportion equation
   36,756 : 80,172 = 80,172 : x
2. Step 2: Convert to fraction form
   36,756/80,172 = 80,172/x
3. Step 3: Cross multiply
   36,756x = 80,172 × 80,172
4. Step 4: Simplify right side
   36,756x = 6,427,549,584
5. Step 5: Solve for x
   x = 6,427,549,584/36,756
6. Step 6: Final answer
   x = 174,870.76