Finding the Third Proportional to 16,480 and 35,534

Step by Step Solution

1. Step 1: Write the proportion equation
   16,480 : 35,534 = 35,534 : x
2. Step 2: Convert to fraction form
   16,480/35,534 = 35,534/x
3. Step 3: Cross multiply
   16,480x = 35,534 × 35,534
4. Step 4: Simplify right side
   16,480x = 1,262,665,156
5. Step 5: Solve for x
   x = 1,262,665,156/16,480
6. Step 6: Final answer
   x = 76,618.03