Finding the Third Proportional to 34,758 and 76,428

Step by Step Solution

1. Step 1: Write the proportion equation
   34,758 : 76,428 = 76,428 : x
2. Step 2: Convert to fraction form
   34,758/76,428 = 76,428/x
3. Step 3: Cross multiply
   34,758x = 76,428 × 76,428
4. Step 4: Simplify right side
   34,758x = 5,841,239,184
5. Step 5: Solve for x
   x = 5,841,239,184/34,758
6. Step 6: Final answer
   x = 168,054.53