Finding the Third Proportional to 10,529.50 and 17,546.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,529.50 : 17,546.25 = 17,546.25 : x
2. Step 2: Convert to fraction form
   10,529.50/17,546.25 = 17,546.25/x
3. Step 3: Cross multiply
   10,529.50x = 17,546.25 × 17,546.25
4. Step 4: Simplify right side
   10,529.50x = 307,870,889.06
5. Step 5: Solve for x
   x = 307,870,889.06/10,529.50
6. Step 6: Final answer
   x = 29,238.89