Finding the Third Proportional to 37,878 and 56,835

Step by Step Solution

1. Step 1: Write the proportion equation
   37,878 : 56,835 = 56,835 : x
2. Step 2: Convert to fraction form
   37,878/56,835 = 56,835/x
3. Step 3: Cross multiply
   37,878x = 56,835 × 56,835
4. Step 4: Simplify right side
   37,878x = 3,230,217,225
5. Step 5: Solve for x
   x = 3,230,217,225/37,878
6. Step 6: Final answer
   x = 85,279.51