Finding the Third Proportional to 1,111.50 and 1,535.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.50 : 1,535.06 = 1,535.06 : x
2. Step 2: Convert to fraction form
   1,111.50/1,535.06 = 1,535.06/x
3. Step 3: Cross multiply
   1,111.50x = 1,535.06 × 1,535.06
4. Step 4: Simplify right side
   1,111.50x = 2,356,416.88
5. Step 5: Solve for x
   x = 2,356,416.88/1,111.50
6. Step 6: Final answer
   x = 2,120.03