Finding the Third Proportional to 1,064 and 2,219.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,064 : 2,219.50 = 2,219.50 : x
2. Step 2: Convert to fraction form
   1,064/2,219.50 = 2,219.50/x
3. Step 3: Cross multiply
   1,064x = 2,219.50 × 2,219.50
4. Step 4: Simplify right side
   1,064x = 4,926,180.25
5. Step 5: Solve for x
   x = 4,926,180.25/1,064
6. Step 6: Final answer
   x = 4,629.87