Finding the Third Proportional to 35,764 and 78,440

Step by Step Solution

1. Step 1: Write the proportion equation
   35,764 : 78,440 = 78,440 : x
2. Step 2: Convert to fraction form
   35,764/78,440 = 78,440/x
3. Step 3: Cross multiply
   35,764x = 78,440 × 78,440
4. Step 4: Simplify right side
   35,764x = 6,152,833,600
5. Step 5: Solve for x
   x = 6,152,833,600/35,764
6. Step 6: Final answer
   x = 172,039.86