Finding the Third Proportional to 34,668 and 74,522.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,668 : 74,522.50 = 74,522.50 : x
2. Step 2: Convert to fraction form
   34,668/74,522.50 = 74,522.50/x
3. Step 3: Cross multiply
   34,668x = 74,522.50 × 74,522.50
4. Step 4: Simplify right side
   34,668x = 5,553,603,006.25
5. Step 5: Solve for x
   x = 5,553,603,006.25/34,668
6. Step 6: Final answer
   x = 160,193.93