Finding the Third Proportional to 58,538 and 64,690

Step by Step Solution

1. Step 1: Write the proportion equation
   58,538 : 64,690 = 64,690 : x
2. Step 2: Convert to fraction form
   58,538/64,690 = 64,690/x
3. Step 3: Cross multiply
   58,538x = 64,690 × 64,690
4. Step 4: Simplify right side
   58,538x = 4,184,796,100
5. Step 5: Solve for x
   x = 4,184,796,100/58,538
6. Step 6: Final answer
   x = 71,488.54