Finding the Third Proportional to 5,850 and 13,809.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,850 : 13,809.50 = 13,809.50 : x
2. Step 2: Convert to fraction form
   5,850/13,809.50 = 13,809.50/x
3. Step 3: Cross multiply
   5,850x = 13,809.50 × 13,809.50
4. Step 4: Simplify right side
   5,850x = 190,702,290.25
5. Step 5: Solve for x
   x = 190,702,290.25/5,850
6. Step 6: Final answer
   x = 32,598.68