Finding the Third Proportional to 35,842.50 and 77,972.63

Step by Step Solution

1. Step 1: Write the proportion equation
   35,842.50 : 77,972.63 = 77,972.63 : x
2. Step 2: Convert to fraction form
   35,842.50/77,972.63 = 77,972.63/x
3. Step 3: Cross multiply
   35,842.50x = 77,972.63 × 77,972.63
4. Step 4: Simplify right side
   35,842.50x = 6,079,730,249.39
5. Step 5: Solve for x
   x = 6,079,730,249.39/35,842.50
6. Step 6: Final answer
   x = 169,623.50