Finding the Third Proportional to 11,911 and 25,914.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,911 : 25,914.50 = 25,914.50 : x
2. Step 2: Convert to fraction form
   11,911/25,914.50 = 25,914.50/x
3. Step 3: Cross multiply
   11,911x = 25,914.50 × 25,914.50
4. Step 4: Simplify right side
   11,911x = 671,561,310.25
5. Step 5: Solve for x
   x = 671,561,310.25/11,911
6. Step 6: Final answer
   x = 56,381.61