Finding the Third Proportional to 35,460 and 72,746

Step by Step Solution

1. Step 1: Write the proportion equation
   35,460 : 72,746 = 72,746 : x
2. Step 2: Convert to fraction form
   35,460/72,746 = 72,746/x
3. Step 3: Cross multiply
   35,460x = 72,746 × 72,746
4. Step 4: Simplify right side
   35,460x = 5,291,980,516
5. Step 5: Solve for x
   x = 5,291,980,516/35,460
6. Step 6: Final answer
   x = 149,238.03