Finding the Third Proportional to 35,592 and 77,028

Step by Step Solution

1. Step 1: Write the proportion equation
   35,592 : 77,028 = 77,028 : x
2. Step 2: Convert to fraction form
   35,592/77,028 = 77,028/x
3. Step 3: Cross multiply
   35,592x = 77,028 × 77,028
4. Step 4: Simplify right side
   35,592x = 5,933,312,784
5. Step 5: Solve for x
   x = 5,933,312,784/35,592
6. Step 6: Final answer
   x = 166,703.55