Finding the Third Proportional to 29,144 and 64,120

Step by Step Solution

1. Step 1: Write the proportion equation
   29,144 : 64,120 = 64,120 : x
2. Step 2: Convert to fraction form
   29,144/64,120 = 64,120/x
3. Step 3: Cross multiply
   29,144x = 64,120 × 64,120
4. Step 4: Simplify right side
   29,144x = 4,111,374,400
5. Step 5: Solve for x
   x = 4,111,374,400/29,144
6. Step 6: Final answer
   x = 141,071.04