Finding the Third Proportional to 37,971 and 55,716

Step by Step Solution

1. Step 1: Write the proportion equation
   37,971 : 55,716 = 55,716 : x
2. Step 2: Convert to fraction form
   37,971/55,716 = 55,716/x
3. Step 3: Cross multiply
   37,971x = 55,716 × 55,716
4. Step 4: Simplify right side
   37,971x = 3,104,272,656
5. Step 5: Solve for x
   x = 3,104,272,656/37,971
6. Step 6: Final answer
   x = 81,753.78