Finding the Third Proportional to 38,770 and 58,153.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,770 : 58,153.50 = 58,153.50 : x
2. Step 2: Convert to fraction form
   38,770/58,153.50 = 58,153.50/x
3. Step 3: Cross multiply
   38,770x = 58,153.50 × 58,153.50
4. Step 4: Simplify right side
   38,770x = 3,381,829,562.25
5. Step 5: Solve for x
   x = 3,381,829,562.25/38,770
6. Step 6: Final answer
   x = 87,228.00