Finding the Third Proportional to 37,584 and 59,468

Step by Step Solution

1. Step 1: Write the proportion equation
   37,584 : 59,468 = 59,468 : x
2. Step 2: Convert to fraction form
   37,584/59,468 = 59,468/x
3. Step 3: Cross multiply
   37,584x = 59,468 × 59,468
4. Step 4: Simplify right side
   37,584x = 3,536,443,024
5. Step 5: Solve for x
   x = 3,536,443,024/37,584
6. Step 6: Final answer
   x = 94,094.38