Finding the Third Proportional to 47,640 and 74,180.25

Step by Step Solution

1. Step 1: Write the proportion equation
   47,640 : 74,180.25 = 74,180.25 : x
2. Step 2: Convert to fraction form
   47,640/74,180.25 = 74,180.25/x
3. Step 3: Cross multiply
   47,640x = 74,180.25 × 74,180.25
4. Step 4: Simplify right side
   47,640x = 5,502,709,490.06
5. Step 5: Solve for x
   x = 5,502,709,490.06/47,640
6. Step 6: Final answer
   x = 115,506.08