Finding the Third Proportional to 35,904 and 78,614

Step by Step Solution

1. Step 1: Write the proportion equation
   35,904 : 78,614 = 78,614 : x
2. Step 2: Convert to fraction form
   35,904/78,614 = 78,614/x
3. Step 3: Cross multiply
   35,904x = 78,614 × 78,614
4. Step 4: Simplify right side
   35,904x = 6,180,160,996
5. Step 5: Solve for x
   x = 6,180,160,996/35,904
6. Step 6: Final answer
   x = 172,130.15