Finding the Third Proportional to 1,525.13 and 2,071.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,525.13 : 2,071.31 = 2,071.31 : x
2. Step 2: Convert to fraction form
   1,525.13/2,071.31 = 2,071.31/x
3. Step 3: Cross multiply
   1,525.13x = 2,071.31 × 2,071.31
4. Step 4: Simplify right side
   1,525.13x = 4,290,335.47
5. Step 5: Solve for x
   x = 4,290,335.47/1,525.13
6. Step 6: Final answer
   x = 2,813.10