Finding the Third Proportional to 30,685.50 and 42,255

Step by Step Solution

1. Step 1: Write the proportion equation
   30,685.50 : 42,255 = 42,255 : x
2. Step 2: Convert to fraction form
   30,685.50/42,255 = 42,255/x
3. Step 3: Cross multiply
   30,685.50x = 42,255 × 42,255
4. Step 4: Simplify right side
   30,685.50x = 1,785,485,025
5. Step 5: Solve for x
   x = 1,785,485,025/30,685.50
6. Step 6: Final answer
   x = 58,186.60