Finding the Third Proportional to 5,774.06 and 13,622.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,774.06 : 13,622.63 = 13,622.63 : x
2. Step 2: Convert to fraction form
   5,774.06/13,622.63 = 13,622.63/x
3. Step 3: Cross multiply
   5,774.06x = 13,622.63 × 13,622.63
4. Step 4: Simplify right side
   5,774.06x = 185,575,911.89
5. Step 5: Solve for x
   x = 185,575,911.89/5,774.06
6. Step 6: Final answer
   x = 32,139.57