Finding the Third Proportional to 35,416.50 and 77,272.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,416.50 : 77,272.50 = 77,272.50 : x
2. Step 2: Convert to fraction form
   35,416.50/77,272.50 = 77,272.50/x
3. Step 3: Cross multiply
   35,416.50x = 77,272.50 × 77,272.50
4. Step 4: Simplify right side
   35,416.50x = 5,971,039,256.25
5. Step 5: Solve for x
   x = 5,971,039,256.25/35,416.50
6. Step 6: Final answer
   x = 168,594.84