Finding the Third Proportional to 46,590 and 62,072.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,590 : 62,072.50 = 62,072.50 : x
2. Step 2: Convert to fraction form
   46,590/62,072.50 = 62,072.50/x
3. Step 3: Cross multiply
   46,590x = 62,072.50 × 62,072.50
4. Step 4: Simplify right side
   46,590x = 3,852,995,256.25
5. Step 5: Solve for x
   x = 3,852,995,256.25/46,590
6. Step 6: Final answer
   x = 82,700.05