Finding the Third Proportional to 5,212.75 and 10,637.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,212.75 : 10,637.50 = 10,637.50 : x
2. Step 2: Convert to fraction form
   5,212.75/10,637.50 = 10,637.50/x
3. Step 3: Cross multiply
   5,212.75x = 10,637.50 × 10,637.50
4. Step 4: Simplify right side
   5,212.75x = 113,156,406.25
5. Step 5: Solve for x
   x = 113,156,406.25/5,212.75
6. Step 6: Final answer
   x = 21,707.62