Finding the Third Proportional to 13,385 and 28,624

Step by Step Solution

1. Step 1: Write the proportion equation
   13,385 : 28,624 = 28,624 : x
2. Step 2: Convert to fraction form
   13,385/28,624 = 28,624/x
3. Step 3: Cross multiply
   13,385x = 28,624 × 28,624
4. Step 4: Simplify right side
   13,385x = 819,333,376
5. Step 5: Solve for x
   x = 819,333,376/13,385
6. Step 6: Final answer
   x = 61,212.80