Finding the Third Proportional to 58,102 and 89,349

Step by Step Solution

1. Step 1: Write the proportion equation
   58,102 : 89,349 = 89,349 : x
2. Step 2: Convert to fraction form
   58,102/89,349 = 89,349/x
3. Step 3: Cross multiply
   58,102x = 89,349 × 89,349
4. Step 4: Simplify right side
   58,102x = 7,983,243,801
5. Step 5: Solve for x
   x = 7,983,243,801/58,102
6. Step 6: Final answer
   x = 137,400.50