Finding the Third Proportional to 10,298.25 and 22,600.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,298.25 : 22,600.69 = 22,600.69 : x
2. Step 2: Convert to fraction form
   10,298.25/22,600.69 = 22,600.69/x
3. Step 3: Cross multiply
   10,298.25x = 22,600.69 × 22,600.69
4. Step 4: Simplify right side
   10,298.25x = 510,791,075.47
5. Step 5: Solve for x
   x = 510,791,075.47/10,298.25
6. Step 6: Final answer
   x = 49,599.79