Finding the Third Proportional to 37,784 and 55,522

Step by Step Solution

1. Step 1: Write the proportion equation
   37,784 : 55,522 = 55,522 : x
2. Step 2: Convert to fraction form
   37,784/55,522 = 55,522/x
3. Step 3: Cross multiply
   37,784x = 55,522 × 55,522
4. Step 4: Simplify right side
   37,784x = 3,082,692,484
5. Step 5: Solve for x
   x = 3,082,692,484/37,784
6. Step 6: Final answer
   x = 81,587.25