Finding the Third Proportional to 37,436.91 and 81,782.44

Step by Step Solution

1. Step 1: Write the proportion equation
   37,436.91 : 81,782.44 = 81,782.44 : x
2. Step 2: Convert to fraction form
   37,436.91/81,782.44 = 81,782.44/x
3. Step 3: Cross multiply
   37,436.91x = 81,782.44 × 81,782.44
4. Step 4: Simplify right side
   37,436.91x = 6,688,367,083.44
5. Step 5: Solve for x
   x = 6,688,367,083.44/37,436.91
6. Step 6: Final answer
   x = 178,657.05