Finding the Third Proportional to 7,554 and 17,773.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,554 : 17,773.50 = 17,773.50 : x
2. Step 2: Convert to fraction form
   7,554/17,773.50 = 17,773.50/x
3. Step 3: Cross multiply
   7,554x = 17,773.50 × 17,773.50
4. Step 4: Simplify right side
   7,554x = 315,897,302.25
5. Step 5: Solve for x
   x = 315,897,302.25/7,554
6. Step 6: Final answer
   x = 41,818.55