Finding the Third Proportional to 1,086.33 and 1,526.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.33 : 1,526.98 = 1,526.98 : x
2. Step 2: Convert to fraction form
   1,086.33/1,526.98 = 1,526.98/x
3. Step 3: Cross multiply
   1,086.33x = 1,526.98 × 1,526.98
4. Step 4: Simplify right side
   1,086.33x = 2,331,657.42
5. Step 5: Solve for x
   x = 2,331,657.42/1,086.33
6. Step 6: Final answer
   x = 2,146.37