Finding the Third Proportional to 7,761 and 18,127.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,761 : 18,127.50 = 18,127.50 : x
2. Step 2: Convert to fraction form
   7,761/18,127.50 = 18,127.50/x
3. Step 3: Cross multiply
   7,761x = 18,127.50 × 18,127.50
4. Step 4: Simplify right side
   7,761x = 328,606,256.25
5. Step 5: Solve for x
   x = 328,606,256.25/7,761
6. Step 6: Final answer
   x = 42,340.71