Finding the Third Proportional to 58,441 and 82,693.50

Step by Step Solution

1. Step 1: Write the proportion equation
   58,441 : 82,693.50 = 82,693.50 : x
2. Step 2: Convert to fraction form
   58,441/82,693.50 = 82,693.50/x
3. Step 3: Cross multiply
   58,441x = 82,693.50 × 82,693.50
4. Step 4: Simplify right side
   58,441x = 6,838,214,942.25
5. Step 5: Solve for x
   x = 6,838,214,942.25/58,441
6. Step 6: Final answer
   x = 117,010.57