Finding the Third Proportional to 36,839 and 56,658

Step by Step Solution

1. Step 1: Write the proportion equation
   36,839 : 56,658 = 56,658 : x
2. Step 2: Convert to fraction form
   36,839/56,658 = 56,658/x
3. Step 3: Cross multiply
   36,839x = 56,658 × 56,658
4. Step 4: Simplify right side
   36,839x = 3,210,128,964
5. Step 5: Solve for x
   x = 3,210,128,964/36,839
6. Step 6: Final answer
   x = 87,139.42