Finding the Third Proportional to 48,384 and 74,764.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,384 : 74,764.50 = 74,764.50 : x
2. Step 2: Convert to fraction form
   48,384/74,764.50 = 74,764.50/x
3. Step 3: Cross multiply
   48,384x = 74,764.50 × 74,764.50
4. Step 4: Simplify right side
   48,384x = 5,589,730,460.25
5. Step 5: Solve for x
   x = 5,589,730,460.25/48,384
6. Step 6: Final answer
   x = 115,528.49