Finding the Third Proportional to 35,130 and 76,506

Step by Step Solution

1. Step 1: Write the proportion equation
   35,130 : 76,506 = 76,506 : x
2. Step 2: Convert to fraction form
   35,130/76,506 = 76,506/x
3. Step 3: Cross multiply
   35,130x = 76,506 × 76,506
4. Step 4: Simplify right side
   35,130x = 5,853,168,036
5. Step 5: Solve for x
   x = 5,853,168,036/35,130
6. Step 6: Final answer
   x = 166,614.52