Finding the Third Proportional to 38,288.25 and 84,127.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,288.25 : 84,127.50 = 84,127.50 : x
2. Step 2: Convert to fraction form
   38,288.25/84,127.50 = 84,127.50/x
3. Step 3: Cross multiply
   38,288.25x = 84,127.50 × 84,127.50
4. Step 4: Simplify right side
   38,288.25x = 7,077,436,256.25
5. Step 5: Solve for x
   x = 7,077,436,256.25/38,288.25
6. Step 6: Final answer
   x = 184,846.17