Finding the Third Proportional to 7,875 and 12,352.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,875 : 12,352.50 = 12,352.50 : x
2. Step 2: Convert to fraction form
   7,875/12,352.50 = 12,352.50/x
3. Step 3: Cross multiply
   7,875x = 12,352.50 × 12,352.50
4. Step 4: Simplify right side
   7,875x = 152,584,256.25
5. Step 5: Solve for x
   x = 152,584,256.25/7,875
6. Step 6: Final answer
   x = 19,375.78