Finding the Third Proportional to 37,705.50 and 79,083

Step by Step Solution

1. Step 1: Write the proportion equation
   37,705.50 : 79,083 = 79,083 : x
2. Step 2: Convert to fraction form
   37,705.50/79,083 = 79,083/x
3. Step 3: Cross multiply
   37,705.50x = 79,083 × 79,083
4. Step 4: Simplify right side
   37,705.50x = 6,254,120,889
5. Step 5: Solve for x
   x = 6,254,120,889/37,705.50
6. Step 6: Final answer
   x = 165,867.60