Finding the Third Proportional to 35,708 and 51,012

Step by Step Solution

1. Step 1: Write the proportion equation
   35,708 : 51,012 = 51,012 : x
2. Step 2: Convert to fraction form
   35,708/51,012 = 51,012/x
3. Step 3: Cross multiply
   35,708x = 51,012 × 51,012
4. Step 4: Simplify right side
   35,708x = 2,602,224,144
5. Step 5: Solve for x
   x = 2,602,224,144/35,708
6. Step 6: Final answer
   x = 72,875.10