Finding the Third Proportional to 27,630 and 37,516.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,630 : 37,516.50 = 37,516.50 : x
2. Step 2: Convert to fraction form
   27,630/37,516.50 = 37,516.50/x
3. Step 3: Cross multiply
   27,630x = 37,516.50 × 37,516.50
4. Step 4: Simplify right side
   27,630x = 1,407,487,772.25
5. Step 5: Solve for x
   x = 1,407,487,772.25/27,630
6. Step 6: Final answer
   x = 50,940.56