Finding the Third Proportional to 16,464 and 35,501

Step by Step Solution

1. Step 1: Write the proportion equation
   16,464 : 35,501 = 35,501 : x
2. Step 2: Convert to fraction form
   16,464/35,501 = 35,501/x
3. Step 3: Cross multiply
   16,464x = 35,501 × 35,501
4. Step 4: Simplify right side
   16,464x = 1,260,321,001
5. Step 5: Solve for x
   x = 1,260,321,001/16,464
6. Step 6: Final answer
   x = 76,550.11