Finding the Third Proportional to 38,630 and 81,411.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,630 : 81,411.50 = 81,411.50 : x
2. Step 2: Convert to fraction form
   38,630/81,411.50 = 81,411.50/x
3. Step 3: Cross multiply
   38,630x = 81,411.50 × 81,411.50
4. Step 4: Simplify right side
   38,630x = 6,627,832,332.25
5. Step 5: Solve for x
   x = 6,627,832,332.25/38,630
6. Step 6: Final answer
   x = 171,572.15