Finding the Third Proportional to 37,603.50 and 81,822

Step by Step Solution

1. Step 1: Write the proportion equation
   37,603.50 : 81,822 = 81,822 : x
2. Step 2: Convert to fraction form
   37,603.50/81,822 = 81,822/x
3. Step 3: Cross multiply
   37,603.50x = 81,822 × 81,822
4. Step 4: Simplify right side
   37,603.50x = 6,694,839,684
5. Step 5: Solve for x
   x = 6,694,839,684/37,603.50
6. Step 6: Final answer
   x = 178,037.67