Finding the Third Proportional to 5,250 and 12,472.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,250 : 12,472.50 = 12,472.50 : x
2. Step 2: Convert to fraction form
   5,250/12,472.50 = 12,472.50/x
3. Step 3: Cross multiply
   5,250x = 12,472.50 × 12,472.50
4. Step 4: Simplify right side
   5,250x = 155,563,256.25
5. Step 5: Solve for x
   x = 155,563,256.25/5,250
6. Step 6: Final answer
   x = 29,631.10