Finding the Third Proportional to 30,654 and 67,316

Step by Step Solution

1. Step 1: Write the proportion equation
   30,654 : 67,316 = 67,316 : x
2. Step 2: Convert to fraction form
   30,654/67,316 = 67,316/x
3. Step 3: Cross multiply
   30,654x = 67,316 × 67,316
4. Step 4: Simplify right side
   30,654x = 4,531,443,856
5. Step 5: Solve for x
   x = 4,531,443,856/30,654
6. Step 6: Final answer
   x = 147,825.53