Finding the Third Proportional to 37,186.50 and 52,012.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,186.50 : 52,012.50 = 52,012.50 : x
2. Step 2: Convert to fraction form
   37,186.50/52,012.50 = 52,012.50/x
3. Step 3: Cross multiply
   37,186.50x = 52,012.50 × 52,012.50
4. Step 4: Simplify right side
   37,186.50x = 2,705,300,156.25
5. Step 5: Solve for x
   x = 2,705,300,156.25/37,186.50
6. Step 6: Final answer
   x = 72,749.52