Finding the Third Proportional to 13,624 and 28,880

Step by Step Solution

1. Step 1: Write the proportion equation
   13,624 : 28,880 = 28,880 : x
2. Step 2: Convert to fraction form
   13,624/28,880 = 28,880/x
3. Step 3: Cross multiply
   13,624x = 28,880 × 28,880
4. Step 4: Simplify right side
   13,624x = 834,054,400
5. Step 5: Solve for x
   x = 834,054,400/13,624
6. Step 6: Final answer
   x = 61,219.50