Finding the Third Proportional to 37,719 and 78,538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,719 : 78,538.50 = 78,538.50 : x
2. Step 2: Convert to fraction form
   37,719/78,538.50 = 78,538.50/x
3. Step 3: Cross multiply
   37,719x = 78,538.50 × 78,538.50
4. Step 4: Simplify right side
   37,719x = 6,168,295,982.25
5. Step 5: Solve for x
   x = 6,168,295,982.25/37,719
6. Step 6: Final answer
   x = 163,532.86