Finding the Third Proportional to 35,507 and 76,550

Step by Step Solution

1. Step 1: Write the proportion equation
   35,507 : 76,550 = 76,550 : x
2. Step 2: Convert to fraction form
   35,507/76,550 = 76,550/x
3. Step 3: Cross multiply
   35,507x = 76,550 × 76,550
4. Step 4: Simplify right side
   35,507x = 5,859,902,500
5. Step 5: Solve for x
   x = 5,859,902,500/35,507
6. Step 6: Final answer
   x = 165,035.13