Finding the Third Proportional to 35,306 and 73,516

Step by Step Solution

1. Step 1: Write the proportion equation
   35,306 : 73,516 = 73,516 : x
2. Step 2: Convert to fraction form
   35,306/73,516 = 73,516/x
3. Step 3: Cross multiply
   35,306x = 73,516 × 73,516
4. Step 4: Simplify right side
   35,306x = 5,404,602,256
5. Step 5: Solve for x
   x = 5,404,602,256/35,306
6. Step 6: Final answer
   x = 153,078.86