Finding the Third Proportional to 48,413 and 72,674

Step by Step Solution

1. Step 1: Write the proportion equation
   48,413 : 72,674 = 72,674 : x
2. Step 2: Convert to fraction form
   48,413/72,674 = 72,674/x
3. Step 3: Cross multiply
   48,413x = 72,674 × 72,674
4. Step 4: Simplify right side
   48,413x = 5,281,510,276
5. Step 5: Solve for x
   x = 5,281,510,276/48,413
6. Step 6: Final answer
   x = 109,092.81