Finding the Third Proportional to 35,886 and 83,818.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,886 : 83,818.50 = 83,818.50 : x
2. Step 2: Convert to fraction form
   35,886/83,818.50 = 83,818.50/x
3. Step 3: Cross multiply
   35,886x = 83,818.50 × 83,818.50
4. Step 4: Simplify right side
   35,886x = 7,025,540,942.25
5. Step 5: Solve for x
   x = 7,025,540,942.25/35,886
6. Step 6: Final answer
   x = 195,773.87