Finding the Third Proportional to 42,080.25 and 64,677

Step by Step Solution

1. Step 1: Write the proportion equation
   42,080.25 : 64,677 = 64,677 : x
2. Step 2: Convert to fraction form
   42,080.25/64,677 = 64,677/x
3. Step 3: Cross multiply
   42,080.25x = 64,677 × 64,677
4. Step 4: Simplify right side
   42,080.25x = 4,183,114,329
5. Step 5: Solve for x
   x = 4,183,114,329/42,080.25
6. Step 6: Final answer
   x = 99,408.02