Finding the Third Proportional to 11,521 and 26,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,521 : 26,978.50 = 26,978.50 : x
2. Step 2: Convert to fraction form
   11,521/26,978.50 = 26,978.50/x
3. Step 3: Cross multiply
   11,521x = 26,978.50 × 26,978.50
4. Step 4: Simplify right side
   11,521x = 727,839,462.25
5. Step 5: Solve for x
   x = 727,839,462.25/11,521
6. Step 6: Final answer
   x = 63,175.02