Finding the Third Proportional to 5,971.50 and 13,880.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,971.50 : 13,880.25 = 13,880.25 : x
2. Step 2: Convert to fraction form
   5,971.50/13,880.25 = 13,880.25/x
3. Step 3: Cross multiply
   5,971.50x = 13,880.25 × 13,880.25
4. Step 4: Simplify right side
   5,971.50x = 192,661,340.06
5. Step 5: Solve for x
   x = 192,661,340.06/5,971.50
6. Step 6: Final answer
   x = 32,263.47