Finding the Third Proportional to 10,516.50 and 13,740.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,516.50 : 13,740.75 = 13,740.75 : x
2. Step 2: Convert to fraction form
   10,516.50/13,740.75 = 13,740.75/x
3. Step 3: Cross multiply
   10,516.50x = 13,740.75 × 13,740.75
4. Step 4: Simplify right side
   10,516.50x = 188,808,210.56
5. Step 5: Solve for x
   x = 188,808,210.56/10,516.50
6. Step 6: Final answer
   x = 17,953.52