Finding the Third Proportional to 37,678.50 and 55,471.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,678.50 : 55,471.50 = 55,471.50 : x
2. Step 2: Convert to fraction form
   37,678.50/55,471.50 = 55,471.50/x
3. Step 3: Cross multiply
   37,678.50x = 55,471.50 × 55,471.50
4. Step 4: Simplify right side
   37,678.50x = 3,077,087,312.25
5. Step 5: Solve for x
   x = 3,077,087,312.25/37,678.50
6. Step 6: Final answer
   x = 81,666.93