Finding the Third Proportional to 17,790 and 37,630.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,790 : 37,630.50 = 37,630.50 : x
2. Step 2: Convert to fraction form
   17,790/37,630.50 = 37,630.50/x
3. Step 3: Cross multiply
   17,790x = 37,630.50 × 37,630.50
4. Step 4: Simplify right side
   17,790x = 1,416,054,530.25
5. Step 5: Solve for x
   x = 1,416,054,530.25/17,790
6. Step 6: Final answer
   x = 79,598.34