Finding the Third Proportional to 34,570 and 75,864

Step by Step Solution

1. Step 1: Write the proportion equation
   34,570 : 75,864 = 75,864 : x
2. Step 2: Convert to fraction form
   34,570/75,864 = 75,864/x
3. Step 3: Cross multiply
   34,570x = 75,864 × 75,864
4. Step 4: Simplify right side
   34,570x = 5,755,346,496
5. Step 5: Solve for x
   x = 5,755,346,496/34,570
6. Step 6: Final answer
   x = 166,483.84