Finding the Third Proportional to 61,338 and 89,986.50

Step by Step Solution

1. Step 1: Write the proportion equation
   61,338 : 89,986.50 = 89,986.50 : x
2. Step 2: Convert to fraction form
   61,338/89,986.50 = 89,986.50/x
3. Step 3: Cross multiply
   61,338x = 89,986.50 × 89,986.50
4. Step 4: Simplify right side
   61,338x = 8,097,570,182.25
5. Step 5: Solve for x
   x = 8,097,570,182.25/61,338
6. Step 6: Final answer
   x = 132,015.56