Finding the Third Proportional to 39,658 and 58,390.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,658 : 58,390.50 = 58,390.50 : x
2. Step 2: Convert to fraction form
   39,658/58,390.50 = 58,390.50/x
3. Step 3: Cross multiply
   39,658x = 58,390.50 × 58,390.50
4. Step 4: Simplify right side
   39,658x = 3,409,450,490.25
5. Step 5: Solve for x
   x = 3,409,450,490.25/39,658
6. Step 6: Final answer
   x = 85,971.32