Finding the Third Proportional to 37,446 and 79,507.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,446 : 79,507.50 = 79,507.50 : x
2. Step 2: Convert to fraction form
   37,446/79,507.50 = 79,507.50/x
3. Step 3: Cross multiply
   37,446x = 79,507.50 × 79,507.50
4. Step 4: Simplify right side
   37,446x = 6,321,442,556.25
5. Step 5: Solve for x
   x = 6,321,442,556.25/37,446
6. Step 6: Final answer
   x = 168,814.89