Finding the Third Proportional to 17,677.50 and 37,172.63

Step by Step Solution

1. Step 1: Write the proportion equation
   17,677.50 : 37,172.63 = 37,172.63 : x
2. Step 2: Convert to fraction form
   17,677.50/37,172.63 = 37,172.63/x
3. Step 3: Cross multiply
   17,677.50x = 37,172.63 × 37,172.63
4. Step 4: Simplify right side
   17,677.50x = 1,381,804,049.39
5. Step 5: Solve for x
   x = 1,381,804,049.39/17,677.50
6. Step 6: Final answer
   x = 78,167.39