Finding the Third Proportional to 34,671 and 53,566.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,671 : 53,566.50 = 53,566.50 : x
2. Step 2: Convert to fraction form
   34,671/53,566.50 = 53,566.50/x
3. Step 3: Cross multiply
   34,671x = 53,566.50 × 53,566.50
4. Step 4: Simplify right side
   34,671x = 2,869,369,922.25
5. Step 5: Solve for x
   x = 2,869,369,922.25/34,671
6. Step 6: Final answer
   x = 82,759.94