Finding the Third Proportional to 37,365 and 79,285.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,365 : 79,285.50 = 79,285.50 : x
2. Step 2: Convert to fraction form
   37,365/79,285.50 = 79,285.50/x
3. Step 3: Cross multiply
   37,365x = 79,285.50 × 79,285.50
4. Step 4: Simplify right side
   37,365x = 6,286,190,510.25
5. Step 5: Solve for x
   x = 6,286,190,510.25/37,365
6. Step 6: Final answer
   x = 168,237.40