Finding the Third Proportional to 1,531.50 and 2,433.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,531.50 : 2,433.94 = 2,433.94 : x
2. Step 2: Convert to fraction form
   1,531.50/2,433.94 = 2,433.94/x
3. Step 3: Cross multiply
   1,531.50x = 2,433.94 × 2,433.94
4. Step 4: Simplify right side
   1,531.50x = 5,924,051.75
5. Step 5: Solve for x
   x = 5,924,051.75/1,531.50
6. Step 6: Final answer
   x = 3,868.14