Finding the Third Proportional to 30,038 and 64,442

Step by Step Solution

1. Step 1: Write the proportion equation
   30,038 : 64,442 = 64,442 : x
2. Step 2: Convert to fraction form
   30,038/64,442 = 64,442/x
3. Step 3: Cross multiply
   30,038x = 64,442 × 64,442
4. Step 4: Simplify right side
   30,038x = 4,152,771,364
5. Step 5: Solve for x
   x = 4,152,771,364/30,038
6. Step 6: Final answer
   x = 138,250.59