Finding the Third Proportional to 51,877.50 and 82,584

Step by Step Solution

1. Step 1: Write the proportion equation
   51,877.50 : 82,584 = 82,584 : x
2. Step 2: Convert to fraction form
   51,877.50/82,584 = 82,584/x
3. Step 3: Cross multiply
   51,877.50x = 82,584 × 82,584
4. Step 4: Simplify right side
   51,877.50x = 6,820,117,056
5. Step 5: Solve for x
   x = 6,820,117,056/51,877.50
6. Step 6: Final answer
   x = 131,465.80