Finding the Third Proportional to 1,570.22 and 2,132.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,570.22 : 2,132.47 = 2,132.47 : x
2. Step 2: Convert to fraction form
   1,570.22/2,132.47 = 2,132.47/x
3. Step 3: Cross multiply
   1,570.22x = 2,132.47 × 2,132.47
4. Step 4: Simplify right side
   1,570.22x = 4,547,439.63
5. Step 5: Solve for x
   x = 4,547,439.63/1,570.22
6. Step 6: Final answer
   x = 2,896.05