Finding the Third Proportional to 2,968.52 and 4,632.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,968.52 : 4,632.50 = 4,632.50 : x
2. Step 2: Convert to fraction form
   2,968.52/4,632.50 = 4,632.50/x
3. Step 3: Cross multiply
   2,968.52x = 4,632.50 × 4,632.50
4. Step 4: Simplify right side
   2,968.52x = 21,460,092.44
5. Step 5: Solve for x
   x = 21,460,092.44/2,968.52
6. Step 6: Final answer
   x = 7,229.21