Finding the Third Proportional to 35,584.50 and 82,369.25

Step by Step Solution

1. Step 1: Write the proportion equation
   35,584.50 : 82,369.25 = 82,369.25 : x
2. Step 2: Convert to fraction form
   35,584.50/82,369.25 = 82,369.25/x
3. Step 3: Cross multiply
   35,584.50x = 82,369.25 × 82,369.25
4. Step 4: Simplify right side
   35,584.50x = 6,784,693,345.56
5. Step 5: Solve for x
   x = 6,784,693,345.56/35,584.50
6. Step 6: Final answer
   x = 190,664.29