Finding the Third Proportional to 14,656 and 35,424

Step by Step Solution

1. Step 1: Write the proportion equation
   14,656 : 35,424 = 35,424 : x
2. Step 2: Convert to fraction form
   14,656/35,424 = 35,424/x
3. Step 3: Cross multiply
   14,656x = 35,424 × 35,424
4. Step 4: Simplify right side
   14,656x = 1,254,859,776
5. Step 5: Solve for x
   x = 1,254,859,776/14,656
6. Step 6: Final answer
   x = 85,620.89