Finding the Third Proportional to 1,525.88 and 2,142.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,525.88 : 2,142.94 = 2,142.94 : x
2. Step 2: Convert to fraction form
   1,525.88/2,142.94 = 2,142.94/x
3. Step 3: Cross multiply
   1,525.88x = 2,142.94 × 2,142.94
4. Step 4: Simplify right side
   1,525.88x = 4,592,181.13
5. Step 5: Solve for x
   x = 4,592,181.13/1,525.88
6. Step 6: Final answer
   x = 3,009.54