Finding the Third Proportional to 34,516 and 46,590

Step by Step Solution

1. Step 1: Write the proportion equation
   34,516 : 46,590 = 46,590 : x
2. Step 2: Convert to fraction form
   34,516/46,590 = 46,590/x
3. Step 3: Cross multiply
   34,516x = 46,590 × 46,590
4. Step 4: Simplify right side
   34,516x = 2,170,628,100
5. Step 5: Solve for x
   x = 2,170,628,100/34,516
6. Step 6: Final answer
   x = 62,887.59