Finding the Third Proportional to 37,582 and 88,876

Step by Step Solution

1. Step 1: Write the proportion equation
   37,582 : 88,876 = 88,876 : x
2. Step 2: Convert to fraction form
   37,582/88,876 = 88,876/x
3. Step 3: Cross multiply
   37,582x = 88,876 × 88,876
4. Step 4: Simplify right side
   37,582x = 7,898,943,376
5. Step 5: Solve for x
   x = 7,898,943,376/37,582
6. Step 6: Final answer
   x = 210,178.90