Finding the Third Proportional to 17,583 and 42,019.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,583 : 42,019.50 = 42,019.50 : x
2. Step 2: Convert to fraction form
   17,583/42,019.50 = 42,019.50/x
3. Step 3: Cross multiply
   17,583x = 42,019.50 × 42,019.50
4. Step 4: Simplify right side
   17,583x = 1,765,638,380.25
5. Step 5: Solve for x
   x = 1,765,638,380.25/17,583
6. Step 6: Final answer
   x = 100,417.36