Finding the Third Proportional to 34,836 and 71,528

Step by Step Solution

1. Step 1: Write the proportion equation
   34,836 : 71,528 = 71,528 : x
2. Step 2: Convert to fraction form
   34,836/71,528 = 71,528/x
3. Step 3: Cross multiply
   34,836x = 71,528 × 71,528
4. Step 4: Simplify right side
   34,836x = 5,116,254,784
5. Step 5: Solve for x
   x = 5,116,254,784/34,836
6. Step 6: Final answer
   x = 146,866.88