Finding the Third Proportional to 24,978 and 53,030

Step by Step Solution

1. Step 1: Write the proportion equation
   24,978 : 53,030 = 53,030 : x
2. Step 2: Convert to fraction form
   24,978/53,030 = 53,030/x
3. Step 3: Cross multiply
   24,978x = 53,030 × 53,030
4. Step 4: Simplify right side
   24,978x = 2,812,180,900
5. Step 5: Solve for x
   x = 2,812,180,900/24,978
6. Step 6: Final answer
   x = 112,586.31