Finding the Third Proportional to 37,188 and 52,015.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,188 : 52,015.50 = 52,015.50 : x
2. Step 2: Convert to fraction form
   37,188/52,015.50 = 52,015.50/x
3. Step 3: Cross multiply
   37,188x = 52,015.50 × 52,015.50
4. Step 4: Simplify right side
   37,188x = 2,705,612,240.25
5. Step 5: Solve for x
   x = 2,705,612,240.25/37,188
6. Step 6: Final answer
   x = 72,754.98