Finding the Third Proportional to 5,737.50 and 12,164.34

Step by Step Solution

1. Step 1: Write the proportion equation
   5,737.50 : 12,164.34 = 12,164.34 : x
2. Step 2: Convert to fraction form
   5,737.50/12,164.34 = 12,164.34/x
3. Step 3: Cross multiply
   5,737.50x = 12,164.34 × 12,164.34
4. Step 4: Simplify right side
   5,737.50x = 147,971,258.87
5. Step 5: Solve for x
   x = 147,971,258.87/5,737.50
6. Step 6: Final answer
   x = 25,790.20