Finding the Third Proportional to 7,141.75 and 14,631.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,141.75 : 14,631.50 = 14,631.50 : x
2. Step 2: Convert to fraction form
   7,141.75/14,631.50 = 14,631.50/x
3. Step 3: Cross multiply
   7,141.75x = 14,631.50 × 14,631.50
4. Step 4: Simplify right side
   7,141.75x = 214,080,792.25
5. Step 5: Solve for x
   x = 214,080,792.25/7,141.75
6. Step 6: Final answer
   x = 29,975.96