Finding the Third Proportional to 37,745.25 and 81,286.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,745.25 : 81,286.50 = 81,286.50 : x
2. Step 2: Convert to fraction form
   37,745.25/81,286.50 = 81,286.50/x
3. Step 3: Cross multiply
   37,745.25x = 81,286.50 × 81,286.50
4. Step 4: Simplify right side
   37,745.25x = 6,607,495,082.25
5. Step 5: Solve for x
   x = 6,607,495,082.25/37,745.25
6. Step 6: Final answer
   x = 175,055.01