Finding the Third Proportional to 1,019.63 and 1,385.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.63 : 1,385.25 = 1,385.25 : x
2. Step 2: Convert to fraction form
   1,019.63/1,385.25 = 1,385.25/x
3. Step 3: Cross multiply
   1,019.63x = 1,385.25 × 1,385.25
4. Step 4: Simplify right side
   1,019.63x = 1,918,917.56
5. Step 5: Solve for x
   x = 1,918,917.56/1,019.63
6. Step 6: Final answer
   x = 1,881.98