Finding the Third Proportional to 35,759.60 and 77,746.08

Step by Step Solution

1. Step 1: Write the proportion equation
   35,759.60 : 77,746.08 = 77,746.08 : x
2. Step 2: Convert to fraction form
   35,759.60/77,746.08 = 77,746.08/x
3. Step 3: Cross multiply
   35,759.60x = 77,746.08 × 77,746.08
4. Step 4: Simplify right side
   35,759.60x = 6,044,452,663.82
5. Step 5: Solve for x
   x = 6,044,452,663.82/35,759.60
6. Step 6: Final answer
   x = 169,030.20