Finding the Third Proportional to 27,312 and 37,378.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,312 : 37,378.50 = 37,378.50 : x
2. Step 2: Convert to fraction form
   27,312/37,378.50 = 37,378.50/x
3. Step 3: Cross multiply
   27,312x = 37,378.50 × 37,378.50
4. Step 4: Simplify right side
   27,312x = 1,397,152,262.25
5. Step 5: Solve for x
   x = 1,397,152,262.25/27,312
6. Step 6: Final answer
   x = 51,155.25