Finding the Third Proportional to 51,848 and 82,539.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,848 : 82,539.50 = 82,539.50 : x
2. Step 2: Convert to fraction form
   51,848/82,539.50 = 82,539.50/x
3. Step 3: Cross multiply
   51,848x = 82,539.50 × 82,539.50
4. Step 4: Simplify right side
   51,848x = 6,812,769,060.25
5. Step 5: Solve for x
   x = 6,812,769,060.25/51,848
6. Step 6: Final answer
   x = 131,398.88