Finding the Third Proportional to 34,536 and 54,580.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,536 : 54,580.50 = 54,580.50 : x
2. Step 2: Convert to fraction form
   34,536/54,580.50 = 54,580.50/x
3. Step 3: Cross multiply
   34,536x = 54,580.50 × 54,580.50
4. Step 4: Simplify right side
   34,536x = 2,979,030,980.25
5. Step 5: Solve for x
   x = 2,979,030,980.25/34,536
6. Step 6: Final answer
   x = 86,258.71