Finding the Third Proportional to 34,733 and 76,090

Step by Step Solution

1. Step 1: Write the proportion equation
   34,733 : 76,090 = 76,090 : x
2. Step 2: Convert to fraction form
   34,733/76,090 = 76,090/x
3. Step 3: Cross multiply
   34,733x = 76,090 × 76,090
4. Step 4: Simplify right side
   34,733x = 5,789,688,100
5. Step 5: Solve for x
   x = 5,789,688,100/34,733
6. Step 6: Final answer
   x = 166,691.28