Finding the Third Proportional to 37,526 and 81,980

Step by Step Solution

1. Step 1: Write the proportion equation
   37,526 : 81,980 = 81,980 : x
2. Step 2: Convert to fraction form
   37,526/81,980 = 81,980/x
3. Step 3: Cross multiply
   37,526x = 81,980 × 81,980
4. Step 4: Simplify right side
   37,526x = 6,720,720,400
5. Step 5: Solve for x
   x = 6,720,720,400/37,526
6. Step 6: Final answer
   x = 179,095.04