Finding the Third Proportional to 1,292.63 and 1,404.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,292.63 : 1,404.84 = 1,404.84 : x
2. Step 2: Convert to fraction form
   1,292.63/1,404.84 = 1,404.84/x
3. Step 3: Cross multiply
   1,292.63x = 1,404.84 × 1,404.84
4. Step 4: Simplify right side
   1,292.63x = 1,973,585.96
5. Step 5: Solve for x
   x = 1,973,585.96/1,292.63
6. Step 6: Final answer
   x = 1,526.80