Finding the Third Proportional to 12,624 and 27,460

Step by Step Solution

1. Step 1: Write the proportion equation
   12,624 : 27,460 = 27,460 : x
2. Step 2: Convert to fraction form
   12,624/27,460 = 27,460/x
3. Step 3: Cross multiply
   12,624x = 27,460 × 27,460
4. Step 4: Simplify right side
   12,624x = 754,051,600
5. Step 5: Solve for x
   x = 754,051,600/12,624
6. Step 6: Final answer
   x = 59,731.59