Finding the Third Proportional to 37,222.50 and 81,816

Step by Step Solution

1. Step 1: Write the proportion equation
   37,222.50 : 81,816 = 81,816 : x
2. Step 2: Convert to fraction form
   37,222.50/81,816 = 81,816/x
3. Step 3: Cross multiply
   37,222.50x = 81,816 × 81,816
4. Step 4: Simplify right side
   37,222.50x = 6,693,857,856
5. Step 5: Solve for x
   x = 6,693,857,856/37,222.50
6. Step 6: Final answer
   x = 179,833.65