Finding the Third Proportional to 4,702 and 10,214.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,702 : 10,214.50 = 10,214.50 : x
2. Step 2: Convert to fraction form
   4,702/10,214.50 = 10,214.50/x
3. Step 3: Cross multiply
   4,702x = 10,214.50 × 10,214.50
4. Step 4: Simplify right side
   4,702x = 104,336,010.25
5. Step 5: Solve for x
   x = 104,336,010.25/4,702
6. Step 6: Final answer
   x = 22,189.71