Finding the Third Proportional to 37,765 and 58,090

Step by Step Solution

1. Step 1: Write the proportion equation
   37,765 : 58,090 = 58,090 : x
2. Step 2: Convert to fraction form
   37,765/58,090 = 58,090/x
3. Step 3: Cross multiply
   37,765x = 58,090 × 58,090
4. Step 4: Simplify right side
   37,765x = 3,374,448,100
5. Step 5: Solve for x
   x = 3,374,448,100/37,765
6. Step 6: Final answer
   x = 89,353.85