Finding the Third Proportional to 35,971 and 78,501

Step by Step Solution

1. Step 1: Write the proportion equation
   35,971 : 78,501 = 78,501 : x
2. Step 2: Convert to fraction form
   35,971/78,501 = 78,501/x
3. Step 3: Cross multiply
   35,971x = 78,501 × 78,501
4. Step 4: Simplify right side
   35,971x = 6,162,407,001
5. Step 5: Solve for x
   x = 6,162,407,001/35,971
6. Step 6: Final answer
   x = 171,315.98