Finding the Third Proportional to 35,584.25 and 82,368.63

Step by Step Solution

1. Step 1: Write the proportion equation
   35,584.25 : 82,368.63 = 82,368.63 : x
2. Step 2: Convert to fraction form
   35,584.25/82,368.63 = 82,368.63/x
3. Step 3: Cross multiply
   35,584.25x = 82,368.63 × 82,368.63
4. Step 4: Simplify right side
   35,584.25x = 6,784,590,384.39
5. Step 5: Solve for x
   x = 6,784,590,384.39/35,584.25
6. Step 6: Final answer
   x = 190,662.73