Finding the Third Proportional to 11,727 and 23,887.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,727 : 23,887.50 = 23,887.50 : x
2. Step 2: Convert to fraction form
   11,727/23,887.50 = 23,887.50/x
3. Step 3: Cross multiply
   11,727x = 23,887.50 × 23,887.50
4. Step 4: Simplify right side
   11,727x = 570,612,656.25
5. Step 5: Solve for x
   x = 570,612,656.25/11,727
6. Step 6: Final answer
   x = 48,658.02