Finding the Third Proportional to 11,500 and 25,106

Step by Step Solution

1. Step 1: Write the proportion equation
   11,500 : 25,106 = 25,106 : x
2. Step 2: Convert to fraction form
   11,500/25,106 = 25,106/x
3. Step 3: Cross multiply
   11,500x = 25,106 × 25,106
4. Step 4: Simplify right side
   11,500x = 630,311,236
5. Step 5: Solve for x
   x = 630,311,236/11,500
6. Step 6: Final answer
   x = 54,809.67