Finding the Third Proportional to 1,907.50 and 2,774.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,907.50 : 2,774.25 = 2,774.25 : x
2. Step 2: Convert to fraction form
   1,907.50/2,774.25 = 2,774.25/x
3. Step 3: Cross multiply
   1,907.50x = 2,774.25 × 2,774.25
4. Step 4: Simplify right side
   1,907.50x = 7,696,463.06
5. Step 5: Solve for x
   x = 7,696,463.06/1,907.50
6. Step 6: Final answer
   x = 4,034.84