Finding the Third Proportional to 35,535 and 82,273.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,535 : 82,273.50 = 82,273.50 : x
2. Step 2: Convert to fraction form
   35,535/82,273.50 = 82,273.50/x
3. Step 3: Cross multiply
   35,535x = 82,273.50 × 82,273.50
4. Step 4: Simplify right side
   35,535x = 6,768,928,802.25
5. Step 5: Solve for x
   x = 6,768,928,802.25/35,535
6. Step 6: Final answer
   x = 190,486.25