Finding the Third Proportional to 30,188 and 45,783

Step by Step Solution

1. Step 1: Write the proportion equation
   30,188 : 45,783 = 45,783 : x
2. Step 2: Convert to fraction form
   30,188/45,783 = 45,783/x
3. Step 3: Cross multiply
   30,188x = 45,783 × 45,783
4. Step 4: Simplify right side
   30,188x = 2,096,083,089
5. Step 5: Solve for x
   x = 2,096,083,089/30,188
6. Step 6: Final answer
   x = 69,434.31