Finding the Third Proportional to 34,242 and 74,714.25

Step by Step Solution

1. Step 1: Write the proportion equation
   34,242 : 74,714.25 = 74,714.25 : x
2. Step 2: Convert to fraction form
   34,242/74,714.25 = 74,714.25/x
3. Step 3: Cross multiply
   34,242x = 74,714.25 × 74,714.25
4. Step 4: Simplify right side
   34,242x = 5,582,219,153.06
5. Step 5: Solve for x
   x = 5,582,219,153.06/34,242
6. Step 6: Final answer
   x = 163,022.58