Finding the Third Proportional to 35,254 and 76,820

Step by Step Solution

1. Step 1: Write the proportion equation
   35,254 : 76,820 = 76,820 : x
2. Step 2: Convert to fraction form
   35,254/76,820 = 76,820/x
3. Step 3: Cross multiply
   35,254x = 76,820 × 76,820
4. Step 4: Simplify right side
   35,254x = 5,901,312,400
5. Step 5: Solve for x
   x = 5,901,312,400/35,254
6. Step 6: Final answer
   x = 167,394.12