Finding the Third Proportional to 34,833.50 and 76,342

Step by Step Solution

1. Step 1: Write the proportion equation
   34,833.50 : 76,342 = 76,342 : x
2. Step 2: Convert to fraction form
   34,833.50/76,342 = 76,342/x
3. Step 3: Cross multiply
   34,833.50x = 76,342 × 76,342
4. Step 4: Simplify right side
   34,833.50x = 5,828,100,964
5. Step 5: Solve for x
   x = 5,828,100,964/34,833.50
6. Step 6: Final answer
   x = 167,313.10