Finding the Third Proportional to 7,580.63 and 15,946.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,580.63 : 15,946.50 = 15,946.50 : x
2. Step 2: Convert to fraction form
   7,580.63/15,946.50 = 15,946.50/x
3. Step 3: Cross multiply
   7,580.63x = 15,946.50 × 15,946.50
4. Step 4: Simplify right side
   7,580.63x = 254,290,862.25
5. Step 5: Solve for x
   x = 254,290,862.25/7,580.63
6. Step 6: Final answer
   x = 33,544.84