Finding the Third Proportional to 37,719 and 81,985.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,719 : 81,985.50 = 81,985.50 : x
2. Step 2: Convert to fraction form
   37,719/81,985.50 = 81,985.50/x
3. Step 3: Cross multiply
   37,719x = 81,985.50 × 81,985.50
4. Step 4: Simplify right side
   37,719x = 6,721,622,210.25
5. Step 5: Solve for x
   x = 6,721,622,210.25/37,719
6. Step 6: Final answer
   x = 178,202.56