Finding the Third Proportional to 37,314 and 81,715.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,314 : 81,715.50 = 81,715.50 : x
2. Step 2: Convert to fraction form
   37,314/81,715.50 = 81,715.50/x
3. Step 3: Cross multiply
   37,314x = 81,715.50 × 81,715.50
4. Step 4: Simplify right side
   37,314x = 6,677,422,940.25
5. Step 5: Solve for x
   x = 6,677,422,940.25/37,314
6. Step 6: Final answer
   x = 178,952.21