Finding the Third Proportional to 35,888 and 83,825

Step by Step Solution

1. Step 1: Write the proportion equation
   35,888 : 83,825 = 83,825 : x
2. Step 2: Convert to fraction form
   35,888/83,825 = 83,825/x
3. Step 3: Cross multiply
   35,888x = 83,825 × 83,825
4. Step 4: Simplify right side
   35,888x = 7,026,630,625
5. Step 5: Solve for x
   x = 7,026,630,625/35,888
6. Step 6: Final answer
   x = 195,793.32