Finding the Third Proportional to 5,113.13 and 10,742.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,113.13 : 10,742.63 = 10,742.63 : x
2. Step 2: Convert to fraction form
   5,113.13/10,742.63 = 10,742.63/x
3. Step 3: Cross multiply
   5,113.13x = 10,742.63 × 10,742.63
4. Step 4: Simplify right side
   5,113.13x = 115,403,991.89
5. Step 5: Solve for x
   x = 115,403,991.89/5,113.13
6. Step 6: Final answer
   x = 22,570.15