Finding the Third Proportional to 37,172.25 and 81,695.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,172.25 : 81,695.25 = 81,695.25 : x
2. Step 2: Convert to fraction form
   37,172.25/81,695.25 = 81,695.25/x
3. Step 3: Cross multiply
   37,172.25x = 81,695.25 × 81,695.25
4. Step 4: Simplify right side
   37,172.25x = 6,674,113,872.56
5. Step 5: Solve for x
   x = 6,674,113,872.56/37,172.25
6. Step 6: Final answer
   x = 179,545.60