Finding the Third Proportional to 32,926.50 and 76,869

Step by Step Solution

1. Step 1: Write the proportion equation
   32,926.50 : 76,869 = 76,869 : x
2. Step 2: Convert to fraction form
   32,926.50/76,869 = 76,869/x
3. Step 3: Cross multiply
   32,926.50x = 76,869 × 76,869
4. Step 4: Simplify right side
   32,926.50x = 5,908,843,161
5. Step 5: Solve for x
   x = 5,908,843,161/32,926.50
6. Step 6: Final answer
   x = 179,455.55