Finding the Third Proportional to 2,130.50 and 4,608.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,130.50 : 4,608.50 = 4,608.50 : x
2. Step 2: Convert to fraction form
   2,130.50/4,608.50 = 4,608.50/x
3. Step 3: Cross multiply
   2,130.50x = 4,608.50 × 4,608.50
4. Step 4: Simplify right side
   2,130.50x = 21,238,272.25
5. Step 5: Solve for x
   x = 21,238,272.25/2,130.50
6. Step 6: Final answer
   x = 9,968.68