Finding the Third Proportional to 34,858 and 76,398.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,858 : 76,398.50 = 76,398.50 : x
2. Step 2: Convert to fraction form
   34,858/76,398.50 = 76,398.50/x
3. Step 3: Cross multiply
   34,858x = 76,398.50 × 76,398.50
4. Step 4: Simplify right side
   34,858x = 5,836,730,802.25
5. Step 5: Solve for x
   x = 5,836,730,802.25/34,858
6. Step 6: Final answer
   x = 167,443.08