Finding the Third Proportional to 34,788.50 and 75,826

Step by Step Solution

1. Step 1: Write the proportion equation
   34,788.50 : 75,826 = 75,826 : x
2. Step 2: Convert to fraction form
   34,788.50/75,826 = 75,826/x
3. Step 3: Cross multiply
   34,788.50x = 75,826 × 75,826
4. Step 4: Simplify right side
   34,788.50x = 5,749,582,276
5. Step 5: Solve for x
   x = 5,749,582,276/34,788.50
6. Step 6: Final answer
   x = 165,272.50