Finding the Third Proportional to 35,152.50 and 76,735

Step by Step Solution

1. Step 1: Write the proportion equation
   35,152.50 : 76,735 = 76,735 : x
2. Step 2: Convert to fraction form
   35,152.50/76,735 = 76,735/x
3. Step 3: Cross multiply
   35,152.50x = 76,735 × 76,735
4. Step 4: Simplify right side
   35,152.50x = 5,888,260,225
5. Step 5: Solve for x
   x = 5,888,260,225/35,152.50
6. Step 6: Final answer
   x = 167,506.16