Finding the Third Proportional to 1,012.92 and 2,147.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,012.92 : 2,147.34 = 2,147.34 : x
2. Step 2: Convert to fraction form
   1,012.92/2,147.34 = 2,147.34/x
3. Step 3: Cross multiply
   1,012.92x = 2,147.34 × 2,147.34
4. Step 4: Simplify right side
   1,012.92x = 4,611,085.18
5. Step 5: Solve for x
   x = 4,611,085.18/1,012.92
6. Step 6: Final answer
   x = 4,552.26