Finding the Third Proportional to 48,429 and 72,641

Step by Step Solution

1. Step 1: Write the proportion equation
   48,429 : 72,641 = 72,641 : x
2. Step 2: Convert to fraction form
   48,429/72,641 = 72,641/x
3. Step 3: Cross multiply
   48,429x = 72,641 × 72,641
4. Step 4: Simplify right side
   48,429x = 5,276,714,881
5. Step 5: Solve for x
   x = 5,276,714,881/48,429
6. Step 6: Final answer
   x = 108,957.75