Finding the Third Proportional to 1,432.69 and 1,902.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,432.69 : 1,902.23 = 1,902.23 : x
2. Step 2: Convert to fraction form
   1,432.69/1,902.23 = 1,902.23/x
3. Step 3: Cross multiply
   1,432.69x = 1,902.23 × 1,902.23
4. Step 4: Simplify right side
   1,432.69x = 3,618,495.62
5. Step 5: Solve for x
   x = 3,618,495.62/1,432.69
6. Step 6: Final answer
   x = 2,525.67