Finding the Third Proportional to 2,052 and 4,468.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,052 : 4,468.50 = 4,468.50 : x
2. Step 2: Convert to fraction form
   2,052/4,468.50 = 4,468.50/x
3. Step 3: Cross multiply
   2,052x = 4,468.50 × 4,468.50
4. Step 4: Simplify right side
   2,052x = 19,967,492.25
5. Step 5: Solve for x
   x = 19,967,492.25/2,052
6. Step 6: Final answer
   x = 9,730.75