Finding the Third Proportional to 37,492.25 and 81,545.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,492.25 : 81,545.50 = 81,545.50 : x
2. Step 2: Convert to fraction form
   37,492.25/81,545.50 = 81,545.50/x
3. Step 3: Cross multiply
   37,492.25x = 81,545.50 × 81,545.50
4. Step 4: Simplify right side
   37,492.25x = 6,649,668,570.25
5. Step 5: Solve for x
   x = 6,649,668,570.25/37,492.25
6. Step 6: Final answer
   x = 177,361.15