Finding the Third Proportional to 28,534 and 37,870

Step by Step Solution

1. Step 1: Write the proportion equation
   28,534 : 37,870 = 37,870 : x
2. Step 2: Convert to fraction form
   28,534/37,870 = 37,870/x
3. Step 3: Cross multiply
   28,534x = 37,870 × 37,870
4. Step 4: Simplify right side
   28,534x = 1,434,136,900
5. Step 5: Solve for x
   x = 1,434,136,900/28,534
6. Step 6: Final answer
   x = 50,260.63