Finding the Third Proportional to 17,678.25 and 37,320.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,678.25 : 37,320.75 = 37,320.75 : x
2. Step 2: Convert to fraction form
   17,678.25/37,320.75 = 37,320.75/x
3. Step 3: Cross multiply
   17,678.25x = 37,320.75 × 37,320.75
4. Step 4: Simplify right side
   17,678.25x = 1,392,838,380.56
5. Step 5: Solve for x
   x = 1,392,838,380.56/17,678.25
6. Step 6: Final answer
   x = 78,788.25