Finding the Third Proportional to 24,329 and 52,978

Step by Step Solution

1. Step 1: Write the proportion equation
   24,329 : 52,978 = 52,978 : x
2. Step 2: Convert to fraction form
   24,329/52,978 = 52,978/x
3. Step 3: Cross multiply
   24,329x = 52,978 × 52,978
4. Step 4: Simplify right side
   24,329x = 2,806,668,484
5. Step 5: Solve for x
   x = 2,806,668,484/24,329
6. Step 6: Final answer
   x = 115,363.08