Finding the Third Proportional to 42,152 and 56,564

Step by Step Solution

1. Step 1: Write the proportion equation
   42,152 : 56,564 = 56,564 : x
2. Step 2: Convert to fraction form
   42,152/56,564 = 56,564/x
3. Step 3: Cross multiply
   42,152x = 56,564 × 56,564
4. Step 4: Simplify right side
   42,152x = 3,199,486,096
5. Step 5: Solve for x
   x = 3,199,486,096/42,152
6. Step 6: Final answer
   x = 75,903.54