Finding the Third Proportional to 30,762 and 64,764

Step by Step Solution

1. Step 1: Write the proportion equation
   30,762 : 64,764 = 64,764 : x
2. Step 2: Convert to fraction form
   30,762/64,764 = 64,764/x
3. Step 3: Cross multiply
   30,762x = 64,764 × 64,764
4. Step 4: Simplify right side
   30,762x = 4,194,375,696
5. Step 5: Solve for x
   x = 4,194,375,696/30,762
6. Step 6: Final answer
   x = 136,349.25