Finding the Third Proportional to 23,338 and 35,438.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,338 : 35,438.50 = 35,438.50 : x
2. Step 2: Convert to fraction form
   23,338/35,438.50 = 35,438.50/x
3. Step 3: Cross multiply
   23,338x = 35,438.50 × 35,438.50
4. Step 4: Simplify right side
   23,338x = 1,255,887,282.25
5. Step 5: Solve for x
   x = 1,255,887,282.25/23,338
6. Step 6: Final answer
   x = 53,812.98