Finding the Third Proportional to 35,922.75 and 78,640.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,922.75 : 78,640.50 = 78,640.50 : x
2. Step 2: Convert to fraction form
   35,922.75/78,640.50 = 78,640.50/x
3. Step 3: Cross multiply
   35,922.75x = 78,640.50 × 78,640.50
4. Step 4: Simplify right side
   35,922.75x = 6,184,328,240.25
5. Step 5: Solve for x
   x = 6,184,328,240.25/35,922.75
6. Step 6: Final answer
   x = 172,156.31