Finding the Third Proportional to 37,320 and 80,654

Step by Step Solution

1. Step 1: Write the proportion equation
   37,320 : 80,654 = 80,654 : x
2. Step 2: Convert to fraction form
   37,320/80,654 = 80,654/x
3. Step 3: Cross multiply
   37,320x = 80,654 × 80,654
4. Step 4: Simplify right side
   37,320x = 6,505,067,716
5. Step 5: Solve for x
   x = 6,505,067,716/37,320
6. Step 6: Final answer
   x = 174,305.14