Finding the Third Proportional to 1,059.75 and 1,526.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,059.75 : 1,526.06 = 1,526.06 : x
2. Step 2: Convert to fraction form
   1,059.75/1,526.06 = 1,526.06/x
3. Step 3: Cross multiply
   1,059.75x = 1,526.06 × 1,526.06
4. Step 4: Simplify right side
   1,059.75x = 2,328,866.75
5. Step 5: Solve for x
   x = 2,328,866.75/1,059.75
6. Step 6: Final answer
   x = 2,197.56