Finding the Third Proportional to 30,594 and 64,833

Step by Step Solution

1. Step 1: Write the proportion equation
   30,594 : 64,833 = 64,833 : x
2. Step 2: Convert to fraction form
   30,594/64,833 = 64,833/x
3. Step 3: Cross multiply
   30,594x = 64,833 × 64,833
4. Step 4: Simplify right side
   30,594x = 4,203,317,889
5. Step 5: Solve for x
   x = 4,203,317,889/30,594
6. Step 6: Final answer
   x = 137,390.27