Finding the Third Proportional to 22,969.50 and 35,214

Step by Step Solution

1. Step 1: Write the proportion equation
   22,969.50 : 35,214 = 35,214 : x
2. Step 2: Convert to fraction form
   22,969.50/35,214 = 35,214/x
3. Step 3: Cross multiply
   22,969.50x = 35,214 × 35,214
4. Step 4: Simplify right side
   22,969.50x = 1,240,025,796
5. Step 5: Solve for x
   x = 1,240,025,796/22,969.50
6. Step 6: Final answer
   x = 53,985.75