Finding the Third Proportional to 23,866 and 35,782.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,866 : 35,782.50 = 35,782.50 : x
2. Step 2: Convert to fraction form
   23,866/35,782.50 = 35,782.50/x
3. Step 3: Cross multiply
   23,866x = 35,782.50 × 35,782.50
4. Step 4: Simplify right side
   23,866x = 1,280,387,306.25
5. Step 5: Solve for x
   x = 1,280,387,306.25/23,866
6. Step 6: Final answer
   x = 53,649.01