Finding the Third Proportional to 30,590 and 64,854

Step by Step Solution

1. Step 1: Write the proportion equation
   30,590 : 64,854 = 64,854 : x
2. Step 2: Convert to fraction form
   30,590/64,854 = 64,854/x
3. Step 3: Cross multiply
   30,590x = 64,854 × 64,854
4. Step 4: Simplify right side
   30,590x = 4,206,041,316
5. Step 5: Solve for x
   x = 4,206,041,316/30,590
6. Step 6: Final answer
   x = 137,497.26