Finding the Third Proportional to 34,695 and 77,154

Step by Step Solution

1. Step 1: Write the proportion equation
   34,695 : 77,154 = 77,154 : x
2. Step 2: Convert to fraction form
   34,695/77,154 = 77,154/x
3. Step 3: Cross multiply
   34,695x = 77,154 × 77,154
4. Step 4: Simplify right side
   34,695x = 5,952,739,716
5. Step 5: Solve for x
   x = 5,952,739,716/34,695
6. Step 6: Final answer
   x = 171,573.42