Finding the Third Proportional to 23,431 and 35,842.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,431 : 35,842.50 = 35,842.50 : x
2. Step 2: Convert to fraction form
   23,431/35,842.50 = 35,842.50/x
3. Step 3: Cross multiply
   23,431x = 35,842.50 × 35,842.50
4. Step 4: Simplify right side
   23,431x = 1,284,684,806.25
5. Step 5: Solve for x
   x = 1,284,684,806.25/23,431
6. Step 6: Final answer
   x = 54,828.42