Finding the Third Proportional to 42,689.25 and 64,026

Step by Step Solution

1. Step 1: Write the proportion equation
   42,689.25 : 64,026 = 64,026 : x
2. Step 2: Convert to fraction form
   42,689.25/64,026 = 64,026/x
3. Step 3: Cross multiply
   42,689.25x = 64,026 × 64,026
4. Step 4: Simplify right side
   42,689.25x = 4,099,328,676
5. Step 5: Solve for x
   x = 4,099,328,676/42,689.25
6. Step 6: Final answer
   x = 96,027.19