Finding the Third Proportional to 5,921.25 and 13,672.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,921.25 : 13,672.50 = 13,672.50 : x
2. Step 2: Convert to fraction form
   5,921.25/13,672.50 = 13,672.50/x
3. Step 3: Cross multiply
   5,921.25x = 13,672.50 × 13,672.50
4. Step 4: Simplify right side
   5,921.25x = 186,937,256.25
5. Step 5: Solve for x
   x = 186,937,256.25/5,921.25
6. Step 6: Final answer
   x = 31,570.57