Finding the Third Proportional to 43,584 and 61,372.50

Step by Step Solution

1. Step 1: Write the proportion equation
   43,584 : 61,372.50 = 61,372.50 : x
2. Step 2: Convert to fraction form
   43,584/61,372.50 = 61,372.50/x
3. Step 3: Cross multiply
   43,584x = 61,372.50 × 61,372.50
4. Step 4: Simplify right side
   43,584x = 3,766,583,756.25
5. Step 5: Solve for x
   x = 3,766,583,756.25/43,584
6. Step 6: Final answer
   x = 86,421.25