Finding the Third Proportional to 1,534.13 and 2,057.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,534.13 : 2,057.63 = 2,057.63 : x
2. Step 2: Convert to fraction form
   1,534.13/2,057.63 = 2,057.63/x
3. Step 3: Cross multiply
   1,534.13x = 2,057.63 × 2,057.63
4. Step 4: Simplify right side
   1,534.13x = 4,233,820.64
5. Step 5: Solve for x
   x = 4,233,820.64/1,534.13
6. Step 6: Final answer
   x = 2,759.76