Finding the Third Proportional to 37,223.50 and 81,818

Step by Step Solution

1. Step 1: Write the proportion equation
   37,223.50 : 81,818 = 81,818 : x
2. Step 2: Convert to fraction form
   37,223.50/81,818 = 81,818/x
3. Step 3: Cross multiply
   37,223.50x = 81,818 × 81,818
4. Step 4: Simplify right side
   37,223.50x = 6,694,185,124
5. Step 5: Solve for x
   x = 6,694,185,124/37,223.50
6. Step 6: Final answer
   x = 179,837.61