Finding the Third Proportional to 54,549 and 74,047.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,549 : 74,047.50 = 74,047.50 : x
2. Step 2: Convert to fraction form
   54,549/74,047.50 = 74,047.50/x
3. Step 3: Cross multiply
   54,549x = 74,047.50 × 74,047.50
4. Step 4: Simplify right side
   54,549x = 5,483,032,256.25
5. Step 5: Solve for x
   x = 5,483,032,256.25/54,549
6. Step 6: Final answer
   x = 100,515.72