Finding the Third Proportional to 7,294.50 and 17,777.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,294.50 : 17,777.25 = 17,777.25 : x
2. Step 2: Convert to fraction form
   7,294.50/17,777.25 = 17,777.25/x
3. Step 3: Cross multiply
   7,294.50x = 17,777.25 × 17,777.25
4. Step 4: Simplify right side
   7,294.50x = 316,030,617.56
5. Step 5: Solve for x
   x = 316,030,617.56/7,294.50
6. Step 6: Final answer
   x = 43,324.51