Finding the Third Proportional to 14,680 and 35,364

Step by Step Solution

1. Step 1: Write the proportion equation
   14,680 : 35,364 = 35,364 : x
2. Step 2: Convert to fraction form
   14,680/35,364 = 35,364/x
3. Step 3: Cross multiply
   14,680x = 35,364 × 35,364
4. Step 4: Simplify right side
   14,680x = 1,250,612,496
5. Step 5: Solve for x
   x = 1,250,612,496/14,680
6. Step 6: Final answer
   x = 85,191.59