Finding the Third Proportional to 35,163 and 83,005.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,163 : 83,005.50 = 83,005.50 : x
2. Step 2: Convert to fraction form
   35,163/83,005.50 = 83,005.50/x
3. Step 3: Cross multiply
   35,163x = 83,005.50 × 83,005.50
4. Step 4: Simplify right side
   35,163x = 6,889,913,030.25
5. Step 5: Solve for x
   x = 6,889,913,030.25/35,163
6. Step 6: Final answer
   x = 195,942.13