Finding the Third Proportional to 61,013 and 89,539.50

Step by Step Solution

1. Step 1: Write the proportion equation
   61,013 : 89,539.50 = 89,539.50 : x
2. Step 2: Convert to fraction form
   61,013/89,539.50 = 89,539.50/x
3. Step 3: Cross multiply
   61,013x = 89,539.50 × 89,539.50
4. Step 4: Simplify right side
   61,013x = 8,017,322,060.25
5. Step 5: Solve for x
   x = 8,017,322,060.25/61,013
6. Step 6: Final answer
   x = 131,403.51