Finding the Third Proportional to 16,213.50 and 35,267.63

Step by Step Solution

1. Step 1: Write the proportion equation
   16,213.50 : 35,267.63 = 35,267.63 : x
2. Step 2: Convert to fraction form
   16,213.50/35,267.63 = 35,267.63/x
3. Step 3: Cross multiply
   16,213.50x = 35,267.63 × 35,267.63
4. Step 4: Simplify right side
   16,213.50x = 1,243,805,373.14
5. Step 5: Solve for x
   x = 1,243,805,373.14/16,213.50
6. Step 6: Final answer
   x = 76,714.18