Finding the Third Proportional to 468.98 and 1,006.31

Step by Step Solution

1. Step 1: Write the proportion equation
   468.98 : 1,006.31 = 1,006.31 : x
2. Step 2: Convert to fraction form
   468.98/1,006.31 = 1,006.31/x
3. Step 3: Cross multiply
   468.98x = 1,006.31 × 1,006.31
4. Step 4: Simplify right side
   468.98x = 1,012,664.85
5. Step 5: Solve for x
   x = 1,012,664.85/468.98
6. Step 6: Final answer
   x = 2,159.27