Finding the Third Proportional to 12,838 and 27,650

Step by Step Solution

1. Step 1: Write the proportion equation
   12,838 : 27,650 = 27,650 : x
2. Step 2: Convert to fraction form
   12,838/27,650 = 27,650/x
3. Step 3: Cross multiply
   12,838x = 27,650 × 27,650
4. Step 4: Simplify right side
   12,838x = 764,522,500
5. Step 5: Solve for x
   x = 764,522,500/12,838
6. Step 6: Final answer
   x = 59,551.53