Finding the Third Proportional to 7,314.75 and 16,123.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,314.75 : 16,123.25 = 16,123.25 : x
2. Step 2: Convert to fraction form
   7,314.75/16,123.25 = 16,123.25/x
3. Step 3: Cross multiply
   7,314.75x = 16,123.25 × 16,123.25
4. Step 4: Simplify right side
   7,314.75x = 259,959,190.56
5. Step 5: Solve for x
   x = 259,959,190.56/7,314.75
6. Step 6: Final answer
   x = 35,539.04