Finding the Third Proportional to 62,823 and 82,570.50

Step by Step Solution

1. Step 1: Write the proportion equation
   62,823 : 82,570.50 = 82,570.50 : x
2. Step 2: Convert to fraction form
   62,823/82,570.50 = 82,570.50/x
3. Step 3: Cross multiply
   62,823x = 82,570.50 × 82,570.50
4. Step 4: Simplify right side
   62,823x = 6,817,887,470.25
5. Step 5: Solve for x
   x = 6,817,887,470.25/62,823
6. Step 6: Final answer
   x = 108,525.34