Finding the Third Proportional to 2,375 and 3,152.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,375 : 3,152.50 = 3,152.50 : x
2. Step 2: Convert to fraction form
   2,375/3,152.50 = 3,152.50/x
3. Step 3: Cross multiply
   2,375x = 3,152.50 × 3,152.50
4. Step 4: Simplify right side
   2,375x = 9,938,256.25
5. Step 5: Solve for x
   x = 9,938,256.25/2,375
6. Step 6: Final answer
   x = 4,184.53