Finding the Third Proportional to 35,464 and 76,837.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,464 : 76,837.50 = 76,837.50 : x
2. Step 2: Convert to fraction form
   35,464/76,837.50 = 76,837.50/x
3. Step 3: Cross multiply
   35,464x = 76,837.50 × 76,837.50
4. Step 4: Simplify right side
   35,464x = 5,904,001,406.25
5. Step 5: Solve for x
   x = 5,904,001,406.25/35,464
6. Step 6: Final answer
   x = 166,478.72