Finding the Third Proportional to 5,072 and 10,263.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,072 : 10,263.50 = 10,263.50 : x
2. Step 2: Convert to fraction form
   5,072/10,263.50 = 10,263.50/x
3. Step 3: Cross multiply
   5,072x = 10,263.50 × 10,263.50
4. Step 4: Simplify right side
   5,072x = 105,339,432.25
5. Step 5: Solve for x
   x = 105,339,432.25/5,072
6. Step 6: Final answer
   x = 20,768.82