Finding the Third Proportional to 35,019 and 53,176.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,019 : 53,176.50 = 53,176.50 : x
2. Step 2: Convert to fraction form
   35,019/53,176.50 = 53,176.50/x
3. Step 3: Cross multiply
   35,019x = 53,176.50 × 53,176.50
4. Step 4: Simplify right side
   35,019x = 2,827,740,152.25
5. Step 5: Solve for x
   x = 2,827,740,152.25/35,019
6. Step 6: Final answer
   x = 80,748.74