Finding the Third Proportional to 464.52 and 1,047.58

Step by Step Solution

1. Step 1: Write the proportion equation
   464.52 : 1,047.58 = 1,047.58 : x
2. Step 2: Convert to fraction form
   464.52/1,047.58 = 1,047.58/x
3. Step 3: Cross multiply
   464.52x = 1,047.58 × 1,047.58
4. Step 4: Simplify right side
   464.52x = 1,097,427.09
5. Step 5: Solve for x
   x = 1,097,427.09/464.52
6. Step 6: Final answer
   x = 2,362.48