Finding the Third Proportional to 37,921.88 and 81,756.94

Step by Step Solution

1. Step 1: Write the proportion equation
   37,921.88 : 81,756.94 = 81,756.94 : x
2. Step 2: Convert to fraction form
   37,921.88/81,756.94 = 81,756.94/x
3. Step 3: Cross multiply
   37,921.88x = 81,756.94 × 81,756.94
4. Step 4: Simplify right side
   37,921.88x = 6,684,196,829.38
5. Step 5: Solve for x
   x = 6,684,196,829.38/37,921.88
6. Step 6: Final answer
   x = 176,262.30