Finding the Third Proportional to 16,582.50 and 35,838

Step by Step Solution

1. Step 1: Write the proportion equation
   16,582.50 : 35,838 = 35,838 : x
2. Step 2: Convert to fraction form
   16,582.50/35,838 = 35,838/x
3. Step 3: Cross multiply
   16,582.50x = 35,838 × 35,838
4. Step 4: Simplify right side
   16,582.50x = 1,284,362,244
5. Step 5: Solve for x
   x = 1,284,362,244/16,582.50
6. Step 6: Final answer
   x = 77,452.87