Finding the Third Proportional to 37,881.50 and 79,677.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,881.50 : 79,677.50 = 79,677.50 : x
2. Step 2: Convert to fraction form
   37,881.50/79,677.50 = 79,677.50/x
3. Step 3: Cross multiply
   37,881.50x = 79,677.50 × 79,677.50
4. Step 4: Simplify right side
   37,881.50x = 6,348,504,006.25
5. Step 5: Solve for x
   x = 6,348,504,006.25/37,881.50
6. Step 6: Final answer
   x = 167,588.51