Finding the Third Proportional to 35,759 and 78,520

Step by Step Solution

1. Step 1: Write the proportion equation
   35,759 : 78,520 = 78,520 : x
2. Step 2: Convert to fraction form
   35,759/78,520 = 78,520/x
3. Step 3: Cross multiply
   35,759x = 78,520 × 78,520
4. Step 4: Simplify right side
   35,759x = 6,165,390,400
5. Step 5: Solve for x
   x = 6,165,390,400/35,759
6. Step 6: Final answer
   x = 172,415.07