Finding the Third Proportional to 34,188 and 73,488

Step by Step Solution

1. Step 1: Write the proportion equation
   34,188 : 73,488 = 73,488 : x
2. Step 2: Convert to fraction form
   34,188/73,488 = 73,488/x
3. Step 3: Cross multiply
   34,188x = 73,488 × 73,488
4. Step 4: Simplify right side
   34,188x = 5,400,486,144
5. Step 5: Solve for x
   x = 5,400,486,144/34,188
6. Step 6: Final answer
   x = 157,964.38