Finding the Third Proportional to 32,876 and 53,677.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,876 : 53,677.50 = 53,677.50 : x
2. Step 2: Convert to fraction form
   32,876/53,677.50 = 53,677.50/x
3. Step 3: Cross multiply
   32,876x = 53,677.50 × 53,677.50
4. Step 4: Simplify right side
   32,876x = 2,881,274,006.25
5. Step 5: Solve for x
   x = 2,881,274,006.25/32,876
6. Step 6: Final answer
   x = 87,640.65