Finding the Third Proportional to 34,614 and 74,730

Step by Step Solution

1. Step 1: Write the proportion equation
   34,614 : 74,730 = 74,730 : x
2. Step 2: Convert to fraction form
   34,614/74,730 = 74,730/x
3. Step 3: Cross multiply
   34,614x = 74,730 × 74,730
4. Step 4: Simplify right side
   34,614x = 5,584,572,900
5. Step 5: Solve for x
   x = 5,584,572,900/34,614
6. Step 6: Final answer
   x = 161,338.56