Finding the Third Proportional to 1,538.16 and 3,334.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.16 : 3,334.50 = 3,334.50 : x
2. Step 2: Convert to fraction form
   1,538.16/3,334.50 = 3,334.50/x
3. Step 3: Cross multiply
   1,538.16x = 3,334.50 × 3,334.50
4. Step 4: Simplify right side
   1,538.16x = 11,118,890.25
5. Step 5: Solve for x
   x = 11,118,890.25/1,538.16
6. Step 6: Final answer
   x = 7,228.71