Finding the Third Proportional to 15,637.50 and 35,408.25

Step by Step Solution

1. Step 1: Write the proportion equation
   15,637.50 : 35,408.25 = 35,408.25 : x
2. Step 2: Convert to fraction form
   15,637.50/35,408.25 = 35,408.25/x
3. Step 3: Cross multiply
   15,637.50x = 35,408.25 × 35,408.25
4. Step 4: Simplify right side
   15,637.50x = 1,253,744,168.06
5. Step 5: Solve for x
   x = 1,253,744,168.06/15,637.50
6. Step 6: Final answer
   x = 80,175.49