Finding the Third Proportional to 19,512.14 and 37,680.19

Step by Step Solution

1. Step 1: Write the proportion equation
   19,512.14 : 37,680.19 = 37,680.19 : x
2. Step 2: Convert to fraction form
   19,512.14/37,680.19 = 37,680.19/x
3. Step 3: Cross multiply
   19,512.14x = 37,680.19 × 37,680.19
4. Step 4: Simplify right side
   19,512.14x = 1,419,796,530.04
5. Step 5: Solve for x
   x = 1,419,796,530.04/19,512.14
6. Step 6: Final answer
   x = 72,764.78