Finding the Third Proportional to 5,625 and 13,612.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,625 : 13,612.50 = 13,612.50 : x
2. Step 2: Convert to fraction form
   5,625/13,612.50 = 13,612.50/x
3. Step 3: Cross multiply
   5,625x = 13,612.50 × 13,612.50
4. Step 4: Simplify right side
   5,625x = 185,300,156.25
5. Step 5: Solve for x
   x = 185,300,156.25/5,625
6. Step 6: Final answer
   x = 32,942.25