Finding the Third Proportional to 37,976.34 and 83,242.69

Step by Step Solution

1. Step 1: Write the proportion equation
   37,976.34 : 83,242.69 = 83,242.69 : x
2. Step 2: Convert to fraction form
   37,976.34/83,242.69 = 83,242.69/x
3. Step 3: Cross multiply
   37,976.34x = 83,242.69 × 83,242.69
4. Step 4: Simplify right side
   37,976.34x = 6,929,345,022.22
5. Step 5: Solve for x
   x = 6,929,345,022.22/37,976.34
6. Step 6: Final answer
   x = 182,464.78