Finding the Third Proportional to 48,077.50 and 74,636.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,077.50 : 74,636.50 = 74,636.50 : x
2. Step 2: Convert to fraction form
   48,077.50/74,636.50 = 74,636.50/x
3. Step 3: Cross multiply
   48,077.50x = 74,636.50 × 74,636.50
4. Step 4: Simplify right side
   48,077.50x = 5,570,607,132.25
5. Step 5: Solve for x
   x = 5,570,607,132.25/48,077.50
6. Step 6: Final answer
   x = 115,867.24