Finding the Third Proportional to 11,905 and 25,926.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,905 : 25,926.50 = 25,926.50 : x
2. Step 2: Convert to fraction form
   11,905/25,926.50 = 25,926.50/x
3. Step 3: Cross multiply
   11,905x = 25,926.50 × 25,926.50
4. Step 4: Simplify right side
   11,905x = 672,183,402.25
5. Step 5: Solve for x
   x = 672,183,402.25/11,905
6. Step 6: Final answer
   x = 56,462.28