Finding the Third Proportional to 35,808 and 78,501

Step by Step Solution

1. Step 1: Write the proportion equation
   35,808 : 78,501 = 78,501 : x
2. Step 2: Convert to fraction form
   35,808/78,501 = 78,501/x
3. Step 3: Cross multiply
   35,808x = 78,501 × 78,501
4. Step 4: Simplify right side
   35,808x = 6,162,407,001
5. Step 5: Solve for x
   x = 6,162,407,001/35,808
6. Step 6: Final answer
   x = 172,095.82