Finding the Third Proportional to 37,773 and 58,284

Step by Step Solution

1. Step 1: Write the proportion equation
   37,773 : 58,284 = 58,284 : x
2. Step 2: Convert to fraction form
   37,773/58,284 = 58,284/x
3. Step 3: Cross multiply
   37,773x = 58,284 × 58,284
4. Step 4: Simplify right side
   37,773x = 3,397,024,656
5. Step 5: Solve for x
   x = 3,397,024,656/37,773
6. Step 6: Final answer
   x = 89,932.61