Finding the Third Proportional to 5,973.75 and 12,281.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,973.75 : 12,281.63 = 12,281.63 : x
2. Step 2: Convert to fraction form
   5,973.75/12,281.63 = 12,281.63/x
3. Step 3: Cross multiply
   5,973.75x = 12,281.63 × 12,281.63
4. Step 4: Simplify right side
   5,973.75x = 150,838,312.64
5. Step 5: Solve for x
   x = 150,838,312.64/5,973.75
6. Step 6: Final answer
   x = 25,250.19