Finding the Third Proportional to 501 and 1,056.50

Step by Step Solution

1. Step 1: Write the proportion equation
   501 : 1,056.50 = 1,056.50 : x
2. Step 2: Convert to fraction form
   501/1,056.50 = 1,056.50/x
3. Step 3: Cross multiply
   501x = 1,056.50 × 1,056.50
4. Step 4: Simplify right side
   501x = 1,116,192.25
5. Step 5: Solve for x
   x = 1,116,192.25/501
6. Step 6: Final answer
   x = 2,227.93