Finding the Third Proportional to 17,769 and 25,258.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,769 : 25,258.50 = 25,258.50 : x
2. Step 2: Convert to fraction form
   17,769/25,258.50 = 25,258.50/x
3. Step 3: Cross multiply
   17,769x = 25,258.50 × 25,258.50
4. Step 4: Simplify right side
   17,769x = 637,991,822.25
5. Step 5: Solve for x
   x = 637,991,822.25/17,769
6. Step 6: Final answer
   x = 35,904.77