Finding the Third Proportional to 24,502 and 37,870

Step by Step Solution

1. Step 1: Write the proportion equation
   24,502 : 37,870 = 37,870 : x
2. Step 2: Convert to fraction form
   24,502/37,870 = 37,870/x
3. Step 3: Cross multiply
   24,502x = 37,870 × 37,870
4. Step 4: Simplify right side
   24,502x = 1,434,136,900
5. Step 5: Solve for x
   x = 1,434,136,900/24,502
6. Step 6: Final answer
   x = 58,531.42