Finding the Third Proportional to 37,772 and 58,283

Step by Step Solution

1. Step 1: Write the proportion equation
   37,772 : 58,283 = 58,283 : x
2. Step 2: Convert to fraction form
   37,772/58,283 = 58,283/x
3. Step 3: Cross multiply
   37,772x = 58,283 × 58,283
4. Step 4: Simplify right side
   37,772x = 3,396,908,089
5. Step 5: Solve for x
   x = 3,396,908,089/37,772
6. Step 6: Final answer
   x = 89,931.91