Finding the Third Proportional to 35,888 and 83,823

Step by Step Solution

1. Step 1: Write the proportion equation
   35,888 : 83,823 = 83,823 : x
2. Step 2: Convert to fraction form
   35,888/83,823 = 83,823/x
3. Step 3: Cross multiply
   35,888x = 83,823 × 83,823
4. Step 4: Simplify right side
   35,888x = 7,026,295,329
5. Step 5: Solve for x
   x = 7,026,295,329/35,888
6. Step 6: Final answer
   x = 195,783.98