Finding the Third Proportional to 37,196 and 55,876

Step by Step Solution

1. Step 1: Write the proportion equation
   37,196 : 55,876 = 55,876 : x
2. Step 2: Convert to fraction form
   37,196/55,876 = 55,876/x
3. Step 3: Cross multiply
   37,196x = 55,876 × 55,876
4. Step 4: Simplify right side
   37,196x = 3,122,127,376
5. Step 5: Solve for x
   x = 3,122,127,376/37,196
6. Step 6: Final answer
   x = 83,937.18