Finding the Third Proportional to 20,538 and 43,006.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,538 : 43,006.50 = 43,006.50 : x
2. Step 2: Convert to fraction form
   20,538/43,006.50 = 43,006.50/x
3. Step 3: Cross multiply
   20,538x = 43,006.50 × 43,006.50
4. Step 4: Simplify right side
   20,538x = 1,849,559,042.25
5. Step 5: Solve for x
   x = 1,849,559,042.25/20,538
6. Step 6: Final answer
   x = 90,055.46