Finding the Third Proportional to 37,695 and 81,946.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,695 : 81,946.50 = 81,946.50 : x
2. Step 2: Convert to fraction form
   37,695/81,946.50 = 81,946.50/x
3. Step 3: Cross multiply
   37,695x = 81,946.50 × 81,946.50
4. Step 4: Simplify right side
   37,695x = 6,715,228,862.25
5. Step 5: Solve for x
   x = 6,715,228,862.25/37,695
6. Step 6: Final answer
   x = 178,146.41