Finding the Third Proportional to 10,777.50 and 16,100.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,777.50 : 16,100.06 = 16,100.06 : x
2. Step 2: Convert to fraction form
   10,777.50/16,100.06 = 16,100.06/x
3. Step 3: Cross multiply
   10,777.50x = 16,100.06 × 16,100.06
4. Step 4: Simplify right side
   10,777.50x = 259,212,012.50
5. Step 5: Solve for x
   x = 259,212,012.50/10,777.50
6. Step 6: Final answer
   x = 24,051.22