Finding the Third Proportional to 37,816.88 and 82,265.63

Step by Step Solution

1. Step 1: Write the proportion equation
   37,816.88 : 82,265.63 = 82,265.63 : x
2. Step 2: Convert to fraction form
   37,816.88/82,265.63 = 82,265.63/x
3. Step 3: Cross multiply
   37,816.88x = 82,265.63 × 82,265.63
4. Step 4: Simplify right side
   37,816.88x = 6,767,633,056.64
5. Step 5: Solve for x
   x = 6,767,633,056.64/37,816.88
6. Step 6: Final answer
   x = 178,958.02