Finding the Third Proportional to 37,889 and 79,706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,889 : 79,706.50 = 79,706.50 : x
2. Step 2: Convert to fraction form
   37,889/79,706.50 = 79,706.50/x
3. Step 3: Cross multiply
   37,889x = 79,706.50 × 79,706.50
4. Step 4: Simplify right side
   37,889x = 6,353,126,142.25
5. Step 5: Solve for x
   x = 6,353,126,142.25/37,889
6. Step 6: Final answer
   x = 167,677.32