Finding the Third Proportional to 11,101 and 23,776.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,101 : 23,776.50 = 23,776.50 : x
2. Step 2: Convert to fraction form
   11,101/23,776.50 = 23,776.50/x
3. Step 3: Cross multiply
   11,101x = 23,776.50 × 23,776.50
4. Step 4: Simplify right side
   11,101x = 565,321,952.25
5. Step 5: Solve for x
   x = 565,321,952.25/11,101
6. Step 6: Final answer
   x = 50,925.32