Finding the Third Proportional to 38,154 and 58,364

Step by Step Solution

1. Step 1: Write the proportion equation
   38,154 : 58,364 = 58,364 : x
2. Step 2: Convert to fraction form
   38,154/58,364 = 58,364/x
3. Step 3: Cross multiply
   38,154x = 58,364 × 58,364
4. Step 4: Simplify right side
   38,154x = 3,406,356,496
5. Step 5: Solve for x
   x = 3,406,356,496/38,154
6. Step 6: Final answer
   x = 89,279.14