Finding the Third Proportional to 10,102.50 and 10,804.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,102.50 : 10,804.50 = 10,804.50 : x
2. Step 2: Convert to fraction form
   10,102.50/10,804.50 = 10,804.50/x
3. Step 3: Cross multiply
   10,102.50x = 10,804.50 × 10,804.50
4. Step 4: Simplify right side
   10,102.50x = 116,737,220.25
5. Step 5: Solve for x
   x = 116,737,220.25/10,102.50
6. Step 6: Final answer
   x = 11,555.28