Finding the Third Proportional to 14,391 and 34,465.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,391 : 34,465.50 = 34,465.50 : x
2. Step 2: Convert to fraction form
   14,391/34,465.50 = 34,465.50/x
3. Step 3: Cross multiply
   14,391x = 34,465.50 × 34,465.50
4. Step 4: Simplify right side
   14,391x = 1,187,870,690.25
5. Step 5: Solve for x
   x = 1,187,870,690.25/14,391
6. Step 6: Final answer
   x = 82,542.61