Finding the Third Proportional to 4,696 and 10,362.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,696 : 10,362.50 = 10,362.50 : x
2. Step 2: Convert to fraction form
   4,696/10,362.50 = 10,362.50/x
3. Step 3: Cross multiply
   4,696x = 10,362.50 × 10,362.50
4. Step 4: Simplify right side
   4,696x = 107,381,406.25
5. Step 5: Solve for x
   x = 107,381,406.25/4,696
6. Step 6: Final answer
   x = 22,866.57