Finding the Third Proportional to 37,977.38 and 81,798.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,977.38 : 81,798.75 = 81,798.75 : x
2. Step 2: Convert to fraction form
   37,977.38/81,798.75 = 81,798.75/x
3. Step 3: Cross multiply
   37,977.38x = 81,798.75 × 81,798.75
4. Step 4: Simplify right side
   37,977.38x = 6,691,035,501.56
5. Step 5: Solve for x
   x = 6,691,035,501.56/37,977.38
6. Step 6: Final answer
   x = 176,184.78