Finding the Third Proportional to 37,594 and 58,541

Step by Step Solution

1. Step 1: Write the proportion equation
   37,594 : 58,541 = 58,541 : x
2. Step 2: Convert to fraction form
   37,594/58,541 = 58,541/x
3. Step 3: Cross multiply
   37,594x = 58,541 × 58,541
4. Step 4: Simplify right side
   37,594x = 3,427,048,681
5. Step 5: Solve for x
   x = 3,427,048,681/37,594
6. Step 6: Final answer
   x = 91,159.46