Finding the Third Proportional to 35,912 and 76,364

Step by Step Solution

1. Step 1: Write the proportion equation
   35,912 : 76,364 = 76,364 : x
2. Step 2: Convert to fraction form
   35,912/76,364 = 76,364/x
3. Step 3: Cross multiply
   35,912x = 76,364 × 76,364
4. Step 4: Simplify right side
   35,912x = 5,831,460,496
5. Step 5: Solve for x
   x = 5,831,460,496/35,912
6. Step 6: Final answer
   x = 162,381.95