Finding the Third Proportional to 10,570.50 and 13,902.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,570.50 : 13,902.75 = 13,902.75 : x
2. Step 2: Convert to fraction form
   10,570.50/13,902.75 = 13,902.75/x
3. Step 3: Cross multiply
   10,570.50x = 13,902.75 × 13,902.75
4. Step 4: Simplify right side
   10,570.50x = 193,286,457.56
5. Step 5: Solve for x
   x = 193,286,457.56/10,570.50
6. Step 6: Final answer
   x = 18,285.46