Finding the Third Proportional to 35,658 and 50,935.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,658 : 50,935.50 = 50,935.50 : x
2. Step 2: Convert to fraction form
   35,658/50,935.50 = 50,935.50/x
3. Step 3: Cross multiply
   35,658x = 50,935.50 × 50,935.50
4. Step 4: Simplify right side
   35,658x = 2,594,425,160.25
5. Step 5: Solve for x
   x = 2,594,425,160.25/35,658
6. Step 6: Final answer
   x = 72,758.57