Finding the Third Proportional to 37,948.50 and 55,464.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,948.50 : 55,464.75 = 55,464.75 : x
2. Step 2: Convert to fraction form
   37,948.50/55,464.75 = 55,464.75/x
3. Step 3: Cross multiply
   37,948.50x = 55,464.75 × 55,464.75
4. Step 4: Simplify right side
   37,948.50x = 3,076,338,492.56
5. Step 5: Solve for x
   x = 3,076,338,492.56/37,948.50
6. Step 6: Final answer
   x = 81,066.14