Finding the Third Proportional to 39,997.50 and 84,914.06

Step by Step Solution

1. Step 1: Write the proportion equation
   39,997.50 : 84,914.06 = 84,914.06 : x
2. Step 2: Convert to fraction form
   39,997.50/84,914.06 = 84,914.06/x
3. Step 3: Cross multiply
   39,997.50x = 84,914.06 × 84,914.06
4. Step 4: Simplify right side
   39,997.50x = 7,210,398,010.25
5. Step 5: Solve for x
   x = 7,210,398,010.25/39,997.50
6. Step 6: Final answer
   x = 180,271.22