Finding the Third Proportional to 34,790.25 and 75,790.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,790.25 : 75,790.50 = 75,790.50 : x
2. Step 2: Convert to fraction form
   34,790.25/75,790.50 = 75,790.50/x
3. Step 3: Cross multiply
   34,790.25x = 75,790.50 × 75,790.50
4. Step 4: Simplify right side
   34,790.25x = 5,744,199,890.25
5. Step 5: Solve for x
   x = 5,744,199,890.25/34,790.25
6. Step 6: Final answer
   x = 165,109.47