Finding the Third Proportional to 35,602 and 76,712

Step by Step Solution

1. Step 1: Write the proportion equation
   35,602 : 76,712 = 76,712 : x
2. Step 2: Convert to fraction form
   35,602/76,712 = 76,712/x
3. Step 3: Cross multiply
   35,602x = 76,712 × 76,712
4. Step 4: Simplify right side
   35,602x = 5,884,730,944
5. Step 5: Solve for x
   x = 5,884,730,944/35,602
6. Step 6: Final answer
   x = 165,292.14