Finding the Third Proportional to 17,737.50 and 37,638.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,737.50 : 37,638.75 = 37,638.75 : x
2. Step 2: Convert to fraction form
   17,737.50/37,638.75 = 37,638.75/x
3. Step 3: Cross multiply
   17,737.50x = 37,638.75 × 37,638.75
4. Step 4: Simplify right side
   17,737.50x = 1,416,675,501.56
5. Step 5: Solve for x
   x = 1,416,675,501.56/17,737.50
6. Step 6: Final answer
   x = 79,868.95