Finding the Third Proportional to 1,093.50 and 1,435.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,093.50 : 1,435.22 = 1,435.22 : x
2. Step 2: Convert to fraction form
   1,093.50/1,435.22 = 1,435.22/x
3. Step 3: Cross multiply
   1,093.50x = 1,435.22 × 1,435.22
4. Step 4: Simplify right side
   1,093.50x = 2,059,852.86
5. Step 5: Solve for x
   x = 2,059,852.86/1,093.50
6. Step 6: Final answer
   x = 1,883.72