Finding the Third Proportional to 37,797.75 and 81,427.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,797.75 : 81,427.50 = 81,427.50 : x
2. Step 2: Convert to fraction form
   37,797.75/81,427.50 = 81,427.50/x
3. Step 3: Cross multiply
   37,797.75x = 81,427.50 × 81,427.50
4. Step 4: Simplify right side
   37,797.75x = 6,630,437,756.25
5. Step 5: Solve for x
   x = 6,630,437,756.25/37,797.75
6. Step 6: Final answer
   x = 175,418.85