Finding the Third Proportional to 37,594 and 58,547

Step by Step Solution

1. Step 1: Write the proportion equation
   37,594 : 58,547 = 58,547 : x
2. Step 2: Convert to fraction form
   37,594/58,547 = 58,547/x
3. Step 3: Cross multiply
   37,594x = 58,547 × 58,547
4. Step 4: Simplify right side
   37,594x = 3,427,751,209
5. Step 5: Solve for x
   x = 3,427,751,209/37,594
6. Step 6: Final answer
   x = 91,178.15