Finding the Third Proportional to 37,429.50 and 81,906

Step by Step Solution

1. Step 1: Write the proportion equation
   37,429.50 : 81,906 = 81,906 : x
2. Step 2: Convert to fraction form
   37,429.50/81,906 = 81,906/x
3. Step 3: Cross multiply
   37,429.50x = 81,906 × 81,906
4. Step 4: Simplify right side
   37,429.50x = 6,708,592,836
5. Step 5: Solve for x
   x = 6,708,592,836/37,429.50
6. Step 6: Final answer
   x = 179,232.77