Finding the Third Proportional to 37,150.50 and 81,681

Step by Step Solution

1. Step 1: Write the proportion equation
   37,150.50 : 81,681 = 81,681 : x
2. Step 2: Convert to fraction form
   37,150.50/81,681 = 81,681/x
3. Step 3: Cross multiply
   37,150.50x = 81,681 × 81,681
4. Step 4: Simplify right side
   37,150.50x = 6,671,785,761
5. Step 5: Solve for x
   x = 6,671,785,761/37,150.50
6. Step 6: Final answer
   x = 179,588.05