Finding the Third Proportional to 58,509 and 83,669

Step by Step Solution

1. Step 1: Write the proportion equation
   58,509 : 83,669 = 83,669 : x
2. Step 2: Convert to fraction form
   58,509/83,669 = 83,669/x
3. Step 3: Cross multiply
   58,509x = 83,669 × 83,669
4. Step 4: Simplify right side
   58,509x = 7,000,501,561
5. Step 5: Solve for x
   x = 7,000,501,561/58,509
6. Step 6: Final answer
   x = 119,648.29