Finding the Third Proportional to 15,769.50 and 23,546.25

Step by Step Solution

1. Step 1: Write the proportion equation
   15,769.50 : 23,546.25 = 23,546.25 : x
2. Step 2: Convert to fraction form
   15,769.50/23,546.25 = 23,546.25/x
3. Step 3: Cross multiply
   15,769.50x = 23,546.25 × 23,546.25
4. Step 4: Simplify right side
   15,769.50x = 554,425,889.06
5. Step 5: Solve for x
   x = 554,425,889.06/15,769.50
6. Step 6: Final answer
   x = 35,158.11