Finding the Third Proportional to 23,654.50 and 35,580.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,654.50 : 35,580.50 = 35,580.50 : x
2. Step 2: Convert to fraction form
   23,654.50/35,580.50 = 35,580.50/x
3. Step 3: Cross multiply
   23,654.50x = 35,580.50 × 35,580.50
4. Step 4: Simplify right side
   23,654.50x = 1,265,971,980.25
5. Step 5: Solve for x
   x = 1,265,971,980.25/23,654.50
6. Step 6: Final answer
   x = 53,519.29