Finding the Third Proportional to 34,697 and 77,158

Step by Step Solution

1. Step 1: Write the proportion equation
   34,697 : 77,158 = 77,158 : x
2. Step 2: Convert to fraction form
   34,697/77,158 = 77,158/x
3. Step 3: Cross multiply
   34,697x = 77,158 × 77,158
4. Step 4: Simplify right side
   34,697x = 5,953,356,964
5. Step 5: Solve for x
   x = 5,953,356,964/34,697
6. Step 6: Final answer
   x = 171,581.32