Finding the Third Proportional to 23,770.50 and 52,188

Step by Step Solution

1. Step 1: Write the proportion equation
   23,770.50 : 52,188 = 52,188 : x
2. Step 2: Convert to fraction form
   23,770.50/52,188 = 52,188/x
3. Step 3: Cross multiply
   23,770.50x = 52,188 × 52,188
4. Step 4: Simplify right side
   23,770.50x = 2,723,587,344
5. Step 5: Solve for x
   x = 2,723,587,344/23,770.50
6. Step 6: Final answer
   x = 114,578.46