Finding the Third Proportional to 34,694 and 77,152

Step by Step Solution

1. Step 1: Write the proportion equation
   34,694 : 77,152 = 77,152 : x
2. Step 2: Convert to fraction form
   34,694/77,152 = 77,152/x
3. Step 3: Cross multiply
   34,694x = 77,152 × 77,152
4. Step 4: Simplify right side
   34,694x = 5,952,431,104
5. Step 5: Solve for x
   x = 5,952,431,104/34,694
6. Step 6: Final answer
   x = 171,569.47