Finding the Third Proportional to 15,666.50 and 23,494.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15,666.50 : 23,494.50 = 23,494.50 : x
2. Step 2: Convert to fraction form
   15,666.50/23,494.50 = 23,494.50/x
3. Step 3: Cross multiply
   15,666.50x = 23,494.50 × 23,494.50
4. Step 4: Simplify right side
   15,666.50x = 551,991,530.25
5. Step 5: Solve for x
   x = 551,991,530.25/15,666.50
6. Step 6: Final answer
   x = 35,233.88