Finding the Third Proportional to 37,694 and 55,416

Step by Step Solution

1. Step 1: Write the proportion equation
   37,694 : 55,416 = 55,416 : x
2. Step 2: Convert to fraction form
   37,694/55,416 = 55,416/x
3. Step 3: Cross multiply
   37,694x = 55,416 × 55,416
4. Step 4: Simplify right side
   37,694x = 3,070,933,056
5. Step 5: Solve for x
   x = 3,070,933,056/37,694
6. Step 6: Final answer
   x = 81,470.08