Finding the Third Proportional to 38,709 and 56,569.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,709 : 56,569.50 = 56,569.50 : x
2. Step 2: Convert to fraction form
   38,709/56,569.50 = 56,569.50/x
3. Step 3: Cross multiply
   38,709x = 56,569.50 × 56,569.50
4. Step 4: Simplify right side
   38,709x = 3,200,108,330.25
5. Step 5: Solve for x
   x = 3,200,108,330.25/38,709
6. Step 6: Final answer
   x = 82,670.91