Finding the Third Proportional to 5,859 and 13,830.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,859 : 13,830.50 = 13,830.50 : x
2. Step 2: Convert to fraction form
   5,859/13,830.50 = 13,830.50/x
3. Step 3: Cross multiply
   5,859x = 13,830.50 × 13,830.50
4. Step 4: Simplify right side
   5,859x = 191,282,730.25
5. Step 5: Solve for x
   x = 191,282,730.25/5,859
6. Step 6: Final answer
   x = 32,647.68