Finding the Third Proportional to 5,792.34 and 12,646.55

Step by Step Solution

1. Step 1: Write the proportion equation
   5,792.34 : 12,646.55 = 12,646.55 : x
2. Step 2: Convert to fraction form
   5,792.34/12,646.55 = 12,646.55/x
3. Step 3: Cross multiply
   5,792.34x = 12,646.55 × 12,646.55
4. Step 4: Simplify right side
   5,792.34x = 159,935,147.86
5. Step 5: Solve for x
   x = 159,935,147.86/5,792.34
6. Step 6: Final answer
   x = 27,611.47