Finding the Third Proportional to 37,805.48 and 82,980.70

Step by Step Solution

1. Step 1: Write the proportion equation
   37,805.48 : 82,980.70 = 82,980.70 : x
2. Step 2: Convert to fraction form
   37,805.48/82,980.70 = 82,980.70/x
3. Step 3: Cross multiply
   37,805.48x = 82,980.70 × 82,980.70
4. Step 4: Simplify right side
   37,805.48x = 6,885,797,091.12
5. Step 5: Solve for x
   x = 6,885,797,091.12/37,805.48
6. Step 6: Final answer
   x = 182,137.52