Finding the Third Proportional to 42,171 and 65,812.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,171 : 65,812.50 = 65,812.50 : x
2. Step 2: Convert to fraction form
   42,171/65,812.50 = 65,812.50/x
3. Step 3: Cross multiply
   42,171x = 65,812.50 × 65,812.50
4. Step 4: Simplify right side
   42,171x = 4,331,285,156.25
5. Step 5: Solve for x
   x = 4,331,285,156.25/42,171
6. Step 6: Final answer
   x = 102,707.67