Finding the Third Proportional to 37,897.88 and 89,299.13

Step by Step Solution

1. Step 1: Write the proportion equation
   37,897.88 : 89,299.13 = 89,299.13 : x
2. Step 2: Convert to fraction form
   37,897.88/89,299.13 = 89,299.13/x
3. Step 3: Cross multiply
   37,897.88x = 89,299.13 × 89,299.13
4. Step 4: Simplify right side
   37,897.88x = 7,974,333,725.77
5. Step 5: Solve for x
   x = 7,974,333,725.77/37,897.88
6. Step 6: Final answer
   x = 210,416.38