Finding the Third Proportional to 14,563.50 and 23,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,563.50 : 23,096.50 = 23,096.50 : x
2. Step 2: Convert to fraction form
   14,563.50/23,096.50 = 23,096.50/x
3. Step 3: Cross multiply
   14,563.50x = 23,096.50 × 23,096.50
4. Step 4: Simplify right side
   14,563.50x = 533,448,312.25
5. Step 5: Solve for x
   x = 533,448,312.25/14,563.50
6. Step 6: Final answer
   x = 36,629.13