Finding the Third Proportional to 1,524.38 and 2,307.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,524.38 : 2,307.94 = 2,307.94 : x
2. Step 2: Convert to fraction form
   1,524.38/2,307.94 = 2,307.94/x
3. Step 3: Cross multiply
   1,524.38x = 2,307.94 × 2,307.94
4. Step 4: Simplify right side
   1,524.38x = 5,326,575.50
5. Step 5: Solve for x
   x = 5,326,575.50/1,524.38
6. Step 6: Final answer
   x = 3,494.27