Finding the Third Proportional to 2,214.56 and 4,838.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,214.56 : 4,838.06 = 4,838.06 : x
2. Step 2: Convert to fraction form
   2,214.56/4,838.06 = 4,838.06/x
3. Step 3: Cross multiply
   2,214.56x = 4,838.06 × 4,838.06
4. Step 4: Simplify right side
   2,214.56x = 23,406,848.75
5. Step 5: Solve for x
   x = 23,406,848.75/2,214.56
6. Step 6: Final answer
   x = 10,569.51