Finding the Third Proportional to 35,920 and 78,528

Step by Step Solution

1. Step 1: Write the proportion equation
   35,920 : 78,528 = 78,528 : x
2. Step 2: Convert to fraction form
   35,920/78,528 = 78,528/x
3. Step 3: Cross multiply
   35,920x = 78,528 × 78,528
4. Step 4: Simplify right side
   35,920x = 6,166,646,784
5. Step 5: Solve for x
   x = 6,166,646,784/35,920
6. Step 6: Final answer
   x = 171,677.25