Finding the Third Proportional to 35,970 and 56,426

Step by Step Solution

1. Step 1: Write the proportion equation
   35,970 : 56,426 = 56,426 : x
2. Step 2: Convert to fraction form
   35,970/56,426 = 56,426/x
3. Step 3: Cross multiply
   35,970x = 56,426 × 56,426
4. Step 4: Simplify right side
   35,970x = 3,183,893,476
5. Step 5: Solve for x
   x = 3,183,893,476/35,970
6. Step 6: Final answer
   x = 88,515.25