Finding the Third Proportional to 46,026 and 61,591.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,026 : 61,591.50 = 61,591.50 : x
2. Step 2: Convert to fraction form
   46,026/61,591.50 = 61,591.50/x
3. Step 3: Cross multiply
   46,026x = 61,591.50 × 61,591.50
4. Step 4: Simplify right side
   46,026x = 3,793,512,872.25
5. Step 5: Solve for x
   x = 3,793,512,872.25/46,026
6. Step 6: Final answer
   x = 82,421.09