Finding the Third Proportional to 10,516.50 and 19,271.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,516.50 : 19,271.25 = 19,271.25 : x
2. Step 2: Convert to fraction form
   10,516.50/19,271.25 = 19,271.25/x
3. Step 3: Cross multiply
   10,516.50x = 19,271.25 × 19,271.25
4. Step 4: Simplify right side
   10,516.50x = 371,381,076.56
5. Step 5: Solve for x
   x = 371,381,076.56/10,516.50
6. Step 6: Final answer
   x = 35,314.13