Finding the Third Proportional to 35,957 and 78,475.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,957 : 78,475.50 = 78,475.50 : x
2. Step 2: Convert to fraction form
   35,957/78,475.50 = 78,475.50/x
3. Step 3: Cross multiply
   35,957x = 78,475.50 × 78,475.50
4. Step 4: Simplify right side
   35,957x = 6,158,404,100.25
5. Step 5: Solve for x
   x = 6,158,404,100.25/35,957
6. Step 6: Final answer
   x = 171,271.35