Finding the Third Proportional to 10,516.50 and 17,527

Step by Step Solution

1. Step 1: Write the proportion equation
   10,516.50 : 17,527 = 17,527 : x
2. Step 2: Convert to fraction form
   10,516.50/17,527 = 17,527/x
3. Step 3: Cross multiply
   10,516.50x = 17,527 × 17,527
4. Step 4: Simplify right side
   10,516.50x = 307,195,729
5. Step 5: Solve for x
   x = 307,195,729/10,516.50
6. Step 6: Final answer
   x = 29,210.83