Finding the Third Proportional to 6,113.63 and 12,884.06

Step by Step Solution

1. Step 1: Write the proportion equation
   6,113.63 : 12,884.06 = 12,884.06 : x
2. Step 2: Convert to fraction form
   6,113.63/12,884.06 = 12,884.06/x
3. Step 3: Cross multiply
   6,113.63x = 12,884.06 × 12,884.06
4. Step 4: Simplify right side
   6,113.63x = 165,999,066.50
5. Step 5: Solve for x
   x = 165,999,066.50/6,113.63
6. Step 6: Final answer
   x = 27,152.31