Finding the Third Proportional to 35,072 and 76,090

Step by Step Solution

1. Step 1: Write the proportion equation
   35,072 : 76,090 = 76,090 : x
2. Step 2: Convert to fraction form
   35,072/76,090 = 76,090/x
3. Step 3: Cross multiply
   35,072x = 76,090 × 76,090
4. Step 4: Simplify right side
   35,072x = 5,789,688,100
5. Step 5: Solve for x
   x = 5,789,688,100/35,072
6. Step 6: Final answer
   x = 165,080.07