Finding the Third Proportional to 35,941.50 and 78,945.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,941.50 : 78,945.75 = 78,945.75 : x
2. Step 2: Convert to fraction form
   35,941.50/78,945.75 = 78,945.75/x
3. Step 3: Cross multiply
   35,941.50x = 78,945.75 × 78,945.75
4. Step 4: Simplify right side
   35,941.50x = 6,232,431,443.06
5. Step 5: Solve for x
   x = 6,232,431,443.06/35,941.50
6. Step 6: Final answer
   x = 173,404.88