Finding the Third Proportional to 23,583.50 and 35,678.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,583.50 : 35,678.50 = 35,678.50 : x
2. Step 2: Convert to fraction form
   23,583.50/35,678.50 = 35,678.50/x
3. Step 3: Cross multiply
   23,583.50x = 35,678.50 × 35,678.50
4. Step 4: Simplify right side
   23,583.50x = 1,272,955,362.25
5. Step 5: Solve for x
   x = 1,272,955,362.25/23,583.50
6. Step 6: Final answer
   x = 53,976.52