Finding the Third Proportional to 469.38 and 1,046.63

Step by Step Solution

1. Step 1: Write the proportion equation
   469.38 : 1,046.63 = 1,046.63 : x
2. Step 2: Convert to fraction form
   469.38/1,046.63 = 1,046.63/x
3. Step 3: Cross multiply
   469.38x = 1,046.63 × 1,046.63
4. Step 4: Simplify right side
   469.38x = 1,095,423.89
5. Step 5: Solve for x
   x = 1,095,423.89/469.38
6. Step 6: Final answer
   x = 2,333.79