Finding the Third Proportional to 37,527.75 and 82,435.78

Step by Step Solution

1. Step 1: Write the proportion equation
   37,527.75 : 82,435.78 = 82,435.78 : x
2. Step 2: Convert to fraction form
   37,527.75/82,435.78 = 82,435.78/x
3. Step 3: Cross multiply
   37,527.75x = 82,435.78 × 82,435.78
4. Step 4: Simplify right side
   37,527.75x = 6,795,658,030.30
5. Step 5: Solve for x
   x = 6,795,658,030.30/37,527.75
6. Step 6: Final answer
   x = 181,083.55