Finding the Third Proportional to 30,228.19 and 35,695.69

Step by Step Solution

1. Step 1: Write the proportion equation
   30,228.19 : 35,695.69 = 35,695.69 : x
2. Step 2: Convert to fraction form
   30,228.19/35,695.69 = 35,695.69/x
3. Step 3: Cross multiply
   30,228.19x = 35,695.69 × 35,695.69
4. Step 4: Simplify right side
   30,228.19x = 1,274,182,106.10
5. Step 5: Solve for x
   x = 1,274,182,106.10/30,228.19
6. Step 6: Final answer
   x = 42,152.12