Finding the Third Proportional to 10,698.75 and 11,822.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,698.75 : 11,822.63 = 11,822.63 : x
2. Step 2: Convert to fraction form
   10,698.75/11,822.63 = 11,822.63/x
3. Step 3: Cross multiply
   10,698.75x = 11,822.63 × 11,822.63
4. Step 4: Simplify right side
   10,698.75x = 139,774,461.89
5. Step 5: Solve for x
   x = 139,774,461.89/10,698.75
6. Step 6: Final answer
   x = 13,064.56