Finding the Third Proportional to 37,188 and 72,506.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,188 : 72,506.25 = 72,506.25 : x
2. Step 2: Convert to fraction form
   37,188/72,506.25 = 72,506.25/x
3. Step 3: Cross multiply
   37,188x = 72,506.25 × 72,506.25
4. Step 4: Simplify right side
   37,188x = 5,257,156,289.06
5. Step 5: Solve for x
   x = 5,257,156,289.06/37,188
6. Step 6: Final answer
   x = 141,367.01