Finding the Third Proportional to 11,776 and 24,915.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,776 : 24,915.25 = 24,915.25 : x
2. Step 2: Convert to fraction form
   11,776/24,915.25 = 24,915.25/x
3. Step 3: Cross multiply
   11,776x = 24,915.25 × 24,915.25
4. Step 4: Simplify right side
   11,776x = 620,769,682.56
5. Step 5: Solve for x
   x = 620,769,682.56/11,776
6. Step 6: Final answer
   x = 52,714.82