Finding the Third Proportional to 35,884 and 56,006

Step by Step Solution

1. Step 1: Write the proportion equation
   35,884 : 56,006 = 56,006 : x
2. Step 2: Convert to fraction form
   35,884/56,006 = 56,006/x
3. Step 3: Cross multiply
   35,884x = 56,006 × 56,006
4. Step 4: Simplify right side
   35,884x = 3,136,672,036
5. Step 5: Solve for x
   x = 3,136,672,036/35,884
6. Step 6: Final answer
   x = 87,411.44