Finding the Third Proportional to 55,645 and 83,451.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,645 : 83,451.50 = 83,451.50 : x
2. Step 2: Convert to fraction form
   55,645/83,451.50 = 83,451.50/x
3. Step 3: Cross multiply
   55,645x = 83,451.50 × 83,451.50
4. Step 4: Simplify right side
   55,645x = 6,964,152,852.25
5. Step 5: Solve for x
   x = 6,964,152,852.25/55,645
6. Step 6: Final answer
   x = 125,153.25