Finding the Third Proportional to 35,890 and 76,688

Step by Step Solution

1. Step 1: Write the proportion equation
   35,890 : 76,688 = 76,688 : x
2. Step 2: Convert to fraction form
   35,890/76,688 = 76,688/x
3. Step 3: Cross multiply
   35,890x = 76,688 × 76,688
4. Step 4: Simplify right side
   35,890x = 5,881,049,344
5. Step 5: Solve for x
   x = 5,881,049,344/35,890
6. Step 6: Final answer
   x = 163,863.17