Finding the Third Proportional to 34,749 and 74,902

Step by Step Solution

1. Step 1: Write the proportion equation
   34,749 : 74,902 = 74,902 : x
2. Step 2: Convert to fraction form
   34,749/74,902 = 74,902/x
3. Step 3: Cross multiply
   34,749x = 74,902 × 74,902
4. Step 4: Simplify right side
   34,749x = 5,610,309,604
5. Step 5: Solve for x
   x = 5,610,309,604/34,749
6. Step 6: Final answer
   x = 161,452.40