Finding the Third Proportional to 32,297 and 47,167.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,297 : 47,167.50 = 47,167.50 : x
2. Step 2: Convert to fraction form
   32,297/47,167.50 = 47,167.50/x
3. Step 3: Cross multiply
   32,297x = 47,167.50 × 47,167.50
4. Step 4: Simplify right side
   32,297x = 2,224,773,056.25
5. Step 5: Solve for x
   x = 2,224,773,056.25/32,297
6. Step 6: Final answer
   x = 68,884.82