Finding the Third Proportional to 21,833.50 and 46,782.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,833.50 : 46,782.50 = 46,782.50 : x
2. Step 2: Convert to fraction form
   21,833.50/46,782.50 = 46,782.50/x
3. Step 3: Cross multiply
   21,833.50x = 46,782.50 × 46,782.50
4. Step 4: Simplify right side
   21,833.50x = 2,188,602,306.25
5. Step 5: Solve for x
   x = 2,188,602,306.25/21,833.50
6. Step 6: Final answer
   x = 100,240.56