Finding the Third Proportional to 42,160 and 56,416

Step by Step Solution

1. Step 1: Write the proportion equation
   42,160 : 56,416 = 56,416 : x
2. Step 2: Convert to fraction form
   42,160/56,416 = 56,416/x
3. Step 3: Cross multiply
   42,160x = 56,416 × 56,416
4. Step 4: Simplify right side
   42,160x = 3,182,765,056
5. Step 5: Solve for x
   x = 3,182,765,056/42,160
6. Step 6: Final answer
   x = 75,492.53