Finding the Third Proportional to 35,410 and 53,389

Step by Step Solution

1. Step 1: Write the proportion equation
   35,410 : 53,389 = 53,389 : x
2. Step 2: Convert to fraction form
   35,410/53,389 = 53,389/x
3. Step 3: Cross multiply
   35,410x = 53,389 × 53,389
4. Step 4: Simplify right side
   35,410x = 2,850,385,321
5. Step 5: Solve for x
   x = 2,850,385,321/35,410
6. Step 6: Final answer
   x = 80,496.62