Finding the Third Proportional to 35,460 and 72,747

Step by Step Solution

1. Step 1: Write the proportion equation
   35,460 : 72,747 = 72,747 : x
2. Step 2: Convert to fraction form
   35,460/72,747 = 72,747/x
3. Step 3: Cross multiply
   35,460x = 72,747 × 72,747
4. Step 4: Simplify right side
   35,460x = 5,292,126,009
5. Step 5: Solve for x
   x = 5,292,126,009/35,460
6. Step 6: Final answer
   x = 149,242.13