Finding the Third Proportional to 37,693 and 55,414

Step by Step Solution

1. Step 1: Write the proportion equation
   37,693 : 55,414 = 55,414 : x
2. Step 2: Convert to fraction form
   37,693/55,414 = 55,414/x
3. Step 3: Cross multiply
   37,693x = 55,414 × 55,414
4. Step 4: Simplify right side
   37,693x = 3,070,711,396
5. Step 5: Solve for x
   x = 3,070,711,396/37,693
6. Step 6: Final answer
   x = 81,466.36