Finding the Third Proportional to 17,776.50 and 23,853.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,776.50 : 23,853.75 = 23,853.75 : x
2. Step 2: Convert to fraction form
   17,776.50/23,853.75 = 23,853.75/x
3. Step 3: Cross multiply
   17,776.50x = 23,853.75 × 23,853.75
4. Step 4: Simplify right side
   17,776.50x = 569,001,389.06
5. Step 5: Solve for x
   x = 569,001,389.06/17,776.50
6. Step 6: Final answer
   x = 32,008.63