Finding the Third Proportional to 37,811 and 58,038

Step by Step Solution

1. Step 1: Write the proportion equation
   37,811 : 58,038 = 58,038 : x
2. Step 2: Convert to fraction form
   37,811/58,038 = 58,038/x
3. Step 3: Cross multiply
   37,811x = 58,038 × 58,038
4. Step 4: Simplify right side
   37,811x = 3,368,409,444
5. Step 5: Solve for x
   x = 3,368,409,444/37,811
6. Step 6: Final answer
   x = 89,085.44