Finding the Third Proportional to 16,234 and 24,527

Step by Step Solution

1. Step 1: Write the proportion equation
   16,234 : 24,527 = 24,527 : x
2. Step 2: Convert to fraction form
   16,234/24,527 = 24,527/x
3. Step 3: Cross multiply
   16,234x = 24,527 × 24,527
4. Step 4: Simplify right side
   16,234x = 601,573,729
5. Step 5: Solve for x
   x = 601,573,729/16,234
6. Step 6: Final answer
   x = 37,056.41