Finding the Third Proportional to 57,546 and 91,606.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,546 : 91,606.50 = 91,606.50 : x
2. Step 2: Convert to fraction form
   57,546/91,606.50 = 91,606.50/x
3. Step 3: Cross multiply
   57,546x = 91,606.50 × 91,606.50
4. Step 4: Simplify right side
   57,546x = 8,391,750,842.25
5. Step 5: Solve for x
   x = 8,391,750,842.25/57,546
6. Step 6: Final answer
   x = 145,826.83