Finding the Third Proportional to 14,820 and 35,429

Step by Step Solution

1. Step 1: Write the proportion equation
   14,820 : 35,429 = 35,429 : x
2. Step 2: Convert to fraction form
   14,820/35,429 = 35,429/x
3. Step 3: Cross multiply
   14,820x = 35,429 × 35,429
4. Step 4: Simplify right side
   14,820x = 1,255,214,041
5. Step 5: Solve for x
   x = 1,255,214,041/14,820
6. Step 6: Final answer
   x = 84,697.30