Finding the Third Proportional to 37,818.75 and 82,562.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,818.75 : 82,562.25 = 82,562.25 : x
2. Step 2: Convert to fraction form
   37,818.75/82,562.25 = 82,562.25/x
3. Step 3: Cross multiply
   37,818.75x = 82,562.25 × 82,562.25
4. Step 4: Simplify right side
   37,818.75x = 6,816,525,125.06
5. Step 5: Solve for x
   x = 6,816,525,125.06/37,818.75
6. Step 6: Final answer
   x = 180,241.95