Finding the Third Proportional to 34,668 and 74,678.63

Step by Step Solution

1. Step 1: Write the proportion equation
   34,668 : 74,678.63 = 74,678.63 : x
2. Step 2: Convert to fraction form
   34,668/74,678.63 = 74,678.63/x
3. Step 3: Cross multiply
   34,668x = 74,678.63 × 74,678.63
4. Step 4: Simplify right side
   34,668x = 5,576,897,031.89
5. Step 5: Solve for x
   x = 5,576,897,031.89/34,668
6. Step 6: Final answer
   x = 160,865.84