Finding the Third Proportional to 37,782.70 and 82,473.82

Step by Step Solution

1. Step 1: Write the proportion equation
   37,782.70 : 82,473.82 = 82,473.82 : x
2. Step 2: Convert to fraction form
   37,782.70/82,473.82 = 82,473.82/x
3. Step 3: Cross multiply
   37,782.70x = 82,473.82 × 82,473.82
4. Step 4: Simplify right side
   37,782.70x = 6,801,931,036.94
5. Step 5: Solve for x
   x = 6,801,931,036.94/37,782.70
6. Step 6: Final answer
   x = 180,027.64