Finding the Third Proportional to 37,768 and 58,280

Step by Step Solution

1. Step 1: Write the proportion equation
   37,768 : 58,280 = 58,280 : x
2. Step 2: Convert to fraction form
   37,768/58,280 = 58,280/x
3. Step 3: Cross multiply
   37,768x = 58,280 × 58,280
4. Step 4: Simplify right side
   37,768x = 3,396,558,400
5. Step 5: Solve for x
   x = 3,396,558,400/37,768
6. Step 6: Final answer
   x = 89,932.18