Finding the Third Proportional to 4,531.50 and 10,111.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,531.50 : 10,111.50 = 10,111.50 : x
2. Step 2: Convert to fraction form
   4,531.50/10,111.50 = 10,111.50/x
3. Step 3: Cross multiply
   4,531.50x = 10,111.50 × 10,111.50
4. Step 4: Simplify right side
   4,531.50x = 102,242,432.25
5. Step 5: Solve for x
   x = 102,242,432.25/4,531.50
6. Step 6: Final answer
   x = 22,562.60