Finding the Third Proportional to 34,656 and 74,860

Step by Step Solution

1. Step 1: Write the proportion equation
   34,656 : 74,860 = 74,860 : x
2. Step 2: Convert to fraction form
   34,656/74,860 = 74,860/x
3. Step 3: Cross multiply
   34,656x = 74,860 × 74,860
4. Step 4: Simplify right side
   34,656x = 5,604,019,600
5. Step 5: Solve for x
   x = 5,604,019,600/34,656
6. Step 6: Final answer
   x = 161,704.17