Finding the Third Proportional to 37,190 and 81,761.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,190 : 81,761.50 = 81,761.50 : x
2. Step 2: Convert to fraction form
   37,190/81,761.50 = 81,761.50/x
3. Step 3: Cross multiply
   37,190x = 81,761.50 × 81,761.50
4. Step 4: Simplify right side
   37,190x = 6,684,942,882.25
5. Step 5: Solve for x
   x = 6,684,942,882.25/37,190
6. Step 6: Final answer
   x = 179,751.09