Finding the Third Proportional to 37,719 and 78,536

Step by Step Solution

1. Step 1: Write the proportion equation
   37,719 : 78,536 = 78,536 : x
2. Step 2: Convert to fraction form
   37,719/78,536 = 78,536/x
3. Step 3: Cross multiply
   37,719x = 78,536 × 78,536
4. Step 4: Simplify right side
   37,719x = 6,167,903,296
5. Step 5: Solve for x
   x = 6,167,903,296/37,719
6. Step 6: Final answer
   x = 163,522.45