Finding the Third Proportional to 35,482.50 and 76,344.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,482.50 : 76,344.75 = 76,344.75 : x
2. Step 2: Convert to fraction form
   35,482.50/76,344.75 = 76,344.75/x
3. Step 3: Cross multiply
   35,482.50x = 76,344.75 × 76,344.75
4. Step 4: Simplify right side
   35,482.50x = 5,828,520,852.56
5. Step 5: Solve for x
   x = 5,828,520,852.56/35,482.50
6. Step 6: Final answer
   x = 164,264.66