Finding the Third Proportional to 48,038.25 and 76,741.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,038.25 : 76,741.50 = 76,741.50 : x
2. Step 2: Convert to fraction form
   48,038.25/76,741.50 = 76,741.50/x
3. Step 3: Cross multiply
   48,038.25x = 76,741.50 × 76,741.50
4. Step 4: Simplify right side
   48,038.25x = 5,889,257,822.25
5. Step 5: Solve for x
   x = 5,889,257,822.25/48,038.25
6. Step 6: Final answer
   x = 122,595.18