Finding the Third Proportional to 11,538 and 21,892.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,538 : 21,892.50 = 21,892.50 : x
2. Step 2: Convert to fraction form
   11,538/21,892.50 = 21,892.50/x
3. Step 3: Cross multiply
   11,538x = 21,892.50 × 21,892.50
4. Step 4: Simplify right side
   11,538x = 479,281,556.25
5. Step 5: Solve for x
   x = 479,281,556.25/11,538
6. Step 6: Final answer
   x = 41,539.40