Finding the Third Proportional to 34,114 and 74,816

Step by Step Solution

1. Step 1: Write the proportion equation
   34,114 : 74,816 = 74,816 : x
2. Step 2: Convert to fraction form
   34,114/74,816 = 74,816/x
3. Step 3: Cross multiply
   34,114x = 74,816 × 74,816
4. Step 4: Simplify right side
   34,114x = 5,597,433,856
5. Step 5: Solve for x
   x = 5,597,433,856/34,114
6. Step 6: Final answer
   x = 164,080.26