Finding the Third Proportional to 12,838.50 and 27,317.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,838.50 : 27,317.25 = 27,317.25 : x
2. Step 2: Convert to fraction form
   12,838.50/27,317.25 = 27,317.25/x
3. Step 3: Cross multiply
   12,838.50x = 27,317.25 × 27,317.25
4. Step 4: Simplify right side
   12,838.50x = 746,232,147.56
5. Step 5: Solve for x
   x = 746,232,147.56/12,838.50
6. Step 6: Final answer
   x = 58,124.56