Finding the Third Proportional to 34,914 and 74,404.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,914 : 74,404.50 = 74,404.50 : x
2. Step 2: Convert to fraction form
   34,914/74,404.50 = 74,404.50/x
3. Step 3: Cross multiply
   34,914x = 74,404.50 × 74,404.50
4. Step 4: Simplify right side
   34,914x = 5,536,029,620.25
5. Step 5: Solve for x
   x = 5,536,029,620.25/34,914
6. Step 6: Final answer
   x = 158,561.88