Finding the Third Proportional to 34,120 and 51,710

Step by Step Solution

1. Step 1: Write the proportion equation
   34,120 : 51,710 = 51,710 : x
2. Step 2: Convert to fraction form
   34,120/51,710 = 51,710/x
3. Step 3: Cross multiply
   34,120x = 51,710 × 51,710
4. Step 4: Simplify right side
   34,120x = 2,673,924,100
5. Step 5: Solve for x
   x = 2,673,924,100/34,120
6. Step 6: Final answer
   x = 78,368.23