Finding the Third Proportional to 7,497.75 and 12,002.63

Step by Step Solution

1. Step 1: Write the proportion equation
   7,497.75 : 12,002.63 = 12,002.63 : x
2. Step 2: Convert to fraction form
   7,497.75/12,002.63 = 12,002.63/x
3. Step 3: Cross multiply
   7,497.75x = 12,002.63 × 12,002.63
4. Step 4: Simplify right side
   7,497.75x = 144,063,006.89
5. Step 5: Solve for x
   x = 144,063,006.89/7,497.75
6. Step 6: Final answer
   x = 19,214.17