Finding the Third Proportional to 37,526 and 57,537

Step by Step Solution

1. Step 1: Write the proportion equation
   37,526 : 57,537 = 57,537 : x
2. Step 2: Convert to fraction form
   37,526/57,537 = 57,537/x
3. Step 3: Cross multiply
   37,526x = 57,537 × 57,537
4. Step 4: Simplify right side
   37,526x = 3,310,506,369
5. Step 5: Solve for x
   x = 3,310,506,369/37,526
6. Step 6: Final answer
   x = 88,219.00