Finding the Third Proportional to 31,141 and 48,241.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,141 : 48,241.50 = 48,241.50 : x
2. Step 2: Convert to fraction form
   31,141/48,241.50 = 48,241.50/x
3. Step 3: Cross multiply
   31,141x = 48,241.50 × 48,241.50
4. Step 4: Simplify right side
   31,141x = 2,327,242,322.25
5. Step 5: Solve for x
   x = 2,327,242,322.25/31,141
6. Step 6: Final answer
   x = 74,732.42