Finding the Third Proportional to 34,526 and 73,976

Step by Step Solution

1. Step 1: Write the proportion equation
   34,526 : 73,976 = 73,976 : x
2. Step 2: Convert to fraction form
   34,526/73,976 = 73,976/x
3. Step 3: Cross multiply
   34,526x = 73,976 × 73,976
4. Step 4: Simplify right side
   34,526x = 5,472,448,576
5. Step 5: Solve for x
   x = 5,472,448,576/34,526
6. Step 6: Final answer
   x = 158,502.25