Finding the Third Proportional to 37,980 and 81,803.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,980 : 81,803.25 = 81,803.25 : x
2. Step 2: Convert to fraction form
   37,980/81,803.25 = 81,803.25/x
3. Step 3: Cross multiply
   37,980x = 81,803.25 × 81,803.25
4. Step 4: Simplify right side
   37,980x = 6,691,771,710.56
5. Step 5: Solve for x
   x = 6,691,771,710.56/37,980
6. Step 6: Final answer
   x = 176,191.99