Finding the Third Proportional to 37,782 and 81,360

Step by Step Solution

1. Step 1: Write the proportion equation
   37,782 : 81,360 = 81,360 : x
2. Step 2: Convert to fraction form
   37,782/81,360 = 81,360/x
3. Step 3: Cross multiply
   37,782x = 81,360 × 81,360
4. Step 4: Simplify right side
   37,782x = 6,619,449,600
5. Step 5: Solve for x
   x = 6,619,449,600/37,782
6. Step 6: Final answer
   x = 175,201.14