Finding the Third Proportional to 37,429 and 80,795

Step by Step Solution

1. Step 1: Write the proportion equation
   37,429 : 80,795 = 80,795 : x
2. Step 2: Convert to fraction form
   37,429/80,795 = 80,795/x
3. Step 3: Cross multiply
   37,429x = 80,795 × 80,795
4. Step 4: Simplify right side
   37,429x = 6,527,832,025
5. Step 5: Solve for x
   x = 6,527,832,025/37,429
6. Step 6: Final answer
   x = 174,405.73