Finding the Third Proportional to 19,629 and 42,538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,629 : 42,538.50 = 42,538.50 : x
2. Step 2: Convert to fraction form
   19,629/42,538.50 = 42,538.50/x
3. Step 3: Cross multiply
   19,629x = 42,538.50 × 42,538.50
4. Step 4: Simplify right side
   19,629x = 1,809,523,982.25
5. Step 5: Solve for x
   x = 1,809,523,982.25/19,629
6. Step 6: Final answer
   x = 92,186.25